Search a number
-
+
11016401310 = 2325238959797
BaseRepresentation
bin10100100001010000…
…01111000110011110
31001102202022011121100
422100220033012132
5140030144320220
65021051413530
7536665603035
oct122050170636
931382264540
1011016401310
1147435203a2
1221754542a6
13106744aa75
1476713d71c
1544722dd90
hex290a0f19e

11016401310 has 96 divisors (see below), whose sum is σ = 30224301120. Its totient is φ = 2778361344.

The previous prime is 11016401293. The next prime is 11016401317. The reversal of 11016401310 is 1310461011.

11016401310 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 640 + 13 + 10 = 666.

It is a super-2 number, since 2×110164013102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11016401317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154332 + ... + 214128.

It is an arithmetic number, because the mean of its divisors is an integer number (314836470).

Almost surely, 211016401310 is an apocalyptic number.

11016401310 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 11016401310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112150560).

11016401310 is an abundant number, since it is smaller than the sum of its proper divisors (19207899810).

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

11016401310 is a wasteful number, since it uses less digits than its factorization.

11016401310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59922 (or 59919 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11016401310 its reverse (1310461011), we get a palindrome (12326862321).

The spelling of 11016401310 in words is "eleven billion, sixteen million, four hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 89 90 115 138 178 207 230 267 345 414 445 534 690 801 890 1035 1335 1602 2047 2070 2670 4005 4094 6141 8010 10235 12282 18423 20470 30705 36846 59797 61410 92115 119594 179391 184230 298985 358782 538173 597970 896955 1076346 1375331 1793910 2690865 2750662 4125993 5321933 5381730 6876655 8251986 10643866 12377979 13753310 15965799 20629965 24755958 26609665 31931598 41259930 47897397 53219330 61889895 79828995 95794794 122404459 123779790 159657990 239486985 244808918 367213377 478973970 612022295 734426754 1101640131 1224044590 1836066885 2203280262 3672133770 5508200655 11016401310