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21312235260 = 22325316535849
BaseRepresentation
bin10011110110010011…
…101110011011111100
32001000021201201121200
4103312103232123330
5322121413012020
613442443055500
71353065003451
oct236623563374
961007651550
1021312235260
119047223878
124169511590
1320185079c4
1410626ad828
1584b076590
hex4f64ee6fc

21312235260 has 144 divisors (see below), whose sum is σ = 66846124800. Its totient is φ = 5490570240.

The previous prime is 21312235237. The next prime is 21312235261. The reversal of 21312235260 is 6253221312.

It is a happy number.

21312235260 is a `hidden beast` number, since 2 + 13 + 122 + 3 + 526 + 0 = 666.

It is a super-2 number, since 2×213122352602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312235261) 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, 3640816 + ... + 3646664.

It is an arithmetic number, because the mean of its divisors is an integer number (464209200).

Almost surely, 221312235260 is an apocalyptic number.

21312235260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312235260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33423062400).

21312235260 is an abundant number, since it is smaller than the sum of its proper divisors (45533889540).

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

21312235260 is a wasteful number, since it uses less digits than its factorization.

21312235260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6548 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 21312235260 its reverse (6253221312), we get a palindrome (27565456572).

The spelling of 21312235260 in words is "twenty-one billion, three hundred twelve million, two hundred thirty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 653 930 1116 1306 1395 1860 1959 2612 2790 3265 3918 5580 5849 5877 6530 7836 9795 11698 11754 13060 17547 19590 20243 23396 23508 29245 29385 35094 39180 40486 52641 58490 58770 60729 70188 80972 87735 101215 105282 116980 117540 121458 175470 181319 182187 202430 210564 242916 263205 303645 350940 362638 364374 404860 526410 543957 607290 725276 728748 906595 910935 1052820 1087914 1214580 1631871 1813190 1821870 2175828 2719785 3263742 3626380 3643740 3819397 5439570 6527484 7638794 8159355 10879140 11458191 15277588 16318710 19096985 22916382 32637420 34374573 38193970 45832764 57290955 68749146 76387940 114581910 118401307 137498292 171872865 229163820 236802614 343745730 355203921 473605228 592006535 687491460 710407842 1065611763 1184013070 1420815684 1776019605 2131223526 2368026140 3552039210 4262447052 5328058815 7104078420 10656117630 21312235260