Search a number
-
+
13321023210 = 2335117361441
BaseRepresentation
bin11000110011111111…
…01010111011101010
31021101100212002112000
430121333222323222
5204240140220320
610041455431430
7651051554235
oct143177527352
937340762460
1013321023210
1157164089a0
1226b9225576
131343a50871
1490525241c
1552e714c90
hex319feaeea

13321023210 has 128 divisors (see below), whose sum is σ = 39283557120. Its totient is φ = 3185049600.

The previous prime is 13321023187. The next prime is 13321023257. The reversal of 13321023210 is 1232012331.

13321023210 is a `hidden beast` number, since 1 + 332 + 10 + 2 + 321 + 0 = 666.

It is a super-2 number, since 2×133210232102 (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186090 + ... + 247530.

It is an arithmetic number, because the mean of its divisors is an integer number (306902790).

Almost surely, 213321023210 is an apocalyptic number.

13321023210 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 13321023210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641778560).

13321023210 is an abundant number, since it is smaller than the sum of its proper divisors (25962533910).

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

13321023210 is a wasteful number, since it uses less digits than its factorization.

13321023210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61541 (or 61535 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13321023210 its reverse (1232012331), we get a palindrome (14553035541).

The spelling of 13321023210 in words is "thirteen billion, three hundred twenty-one million, twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 73 90 99 110 135 146 165 198 219 270 297 330 365 438 495 594 657 730 803 990 1095 1314 1485 1606 1971 2190 2409 2970 3285 3942 4015 4818 6570 7227 8030 9855 12045 14454 19710 21681 24090 36135 43362 61441 72270 108405 122882 184323 216810 307205 368646 552969 614410 675851 921615 1105938 1351702 1658907 1843230 2027553 2764845 3317814 3379255 4055106 4485193 5529690 6082659 6758510 8294535 8970386 10137765 12165318 13455579 16589070 18247977 20275530 22425965 26911158 30413295 36495954 40366737 44851930 49337123 60826590 67277895 80733474 91239885 98674246 121100211 134555790 148011369 182479770 201833685 242200422 246685615 296022738 403667370 444034107 493371230 605501055 740056845 888068214 1211002110 1332102321 1480113690 2220170535 2664204642 4440341070 6660511605 13321023210