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11230402416210 = 234557764737139
BaseRepresentation
bin1010001101101100100000…
…1001011000111001010010
31110202121122001110010110000
42203123020021120321102
52432444331004304320
635515101534550430
72236240561333305
oct243331011307122
943677561403400
1011230402416210
11363a87242a41a
12131463b068416
1363603a2b4603
142ab7a92d4b3c
151471ddc46c90
hexa36c8258e52

11230402416210 has 160 divisors (see below), whose sum is σ = 30297208740480. Its totient is φ = 2984882669568.

The previous prime is 11230402416169. The next prime is 11230402416221. The reversal of 11230402416210 is 1261420403211.

11230402416210 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 0 + 402 + 41 + 6 + 210 = 666.

It is a super-2 number, since 2×112304024162102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 302369821 + ... + 302406959.

It is an arithmetic number, because the mean of its divisors is an integer number (189357554628).

Almost surely, 211230402416210 is an apocalyptic number.

11230402416210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11230402416210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148604370240).

11230402416210 is an abundant number, since it is smaller than the sum of its proper divisors (19066806324270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11230402416210 is a wasteful number, since it uses less digits than its factorization.

11230402416210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38382 (or 38373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11230402416210 its reverse (1261420403211), we get a palindrome (12491822819421).

The spelling of 11230402416210 in words is "eleven trillion, two hundred thirty billion, four hundred two million, four hundred sixteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 577 647 810 1154 1294 1731 1941 2885 3235 3462 3882 5193 5770 5823 6470 8655 9705 10386 11646 15579 17310 17469 19410 25965 29115 31158 34938 37139 46737 51930 52407 58230 74278 77895 87345 93474 104814 111417 155790 174690 185695 222834 233685 262035 334251 371390 373319 467370 524070 557085 668502 746638 1002753 1114170 1119957 1671255 1866595 2005506 2239914 3008259 3342510 3359871 3733190 5013765 5599785 6016518 6719742 10027530 10079613 11199570 15041295 16799355 20159226 21429203 24028933 30082590 30238839 33598710 42858406 48057866 50398065 60477678 64287609 72086799 100796130 107146015 120144665 128575218 144173598 151194195 192862827 214292030 216260397 240289330 302388390 321438045 360433995 385725654 432520794 578588481 642876090 648781191 720867990 964314135 1081301985 1157176962 1297562382 1735765443 1928628270 1946343573 2162603970 2892942405 3243905955 3471530886 3892687146 5785884810 6487811910 8678827215 9731717865 13864694341 17357654430 19463435730 27729388682 41594083023 69323471705 83188166046 124782249069 138646943410 207970415115 249564498138 374346747207 415940830230 623911245345 748693494414 1123040241621 1247822490690 1871733736035 2246080483242 3743467472070 5615201208105 11230402416210