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21312332244 = 22327231738113
BaseRepresentation
bin10011110110010100…
…000110000111010100
32001000021220122122200
4103312110012013110
5322121424112434
613442445124500
71353065556300
oct236624060724
961007818580
1021312332244
11904728a725
124169559730
13201853cba8
1410626d6d00
1584b095199
hex4f65061d4

21312332244 has 108 divisors (see below), whose sum is σ = 62867747124. Its totient is φ = 6069869568.

The previous prime is 21312332233. The next prime is 21312332309. The reversal of 21312332244 is 44223321312.

21312332244 is a `hidden beast` number, since 21 + 312 + 3 + 322 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5804611344 + 15507720900 = 76188^2 + 124530^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 540132 + ... + 578244.

Almost surely, 221312332244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312332244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31433873562).

21312332244 is an abundant number, since it is smaller than the sum of its proper divisors (41555414880).

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

21312332244 is a wasteful number, since it uses less digits than its factorization.

21312332244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38454 (or 38442 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 21312332244 its reverse (44223321312), we get a palindrome (65535653556).

The spelling of 21312332244 in words is "twenty-one billion, three hundred twelve million, three hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 317 441 588 634 882 951 1268 1764 1902 2219 2853 3804 4438 5706 6657 8876 11412 13314 15533 19971 26628 31066 38113 39942 46599 62132 76226 79884 93198 114339 139797 152452 186396 228678 266791 279594 343017 457356 533582 559188 686034 800373 1067164 1372068 1600746 1867537 2401119 3201492 3735074 4802238 5602611 7470148 9604476 11205222 12081821 16807833 22410444 24163642 33615666 36245463 48327284 67231332 72490926 84572747 108736389 144981852 169145494 217472778 253718241 338290988 434945556 507436482 592009229 761154723 1014872964 1184018458 1522309446 1776027687 2368036916 3044618892 3552055374 5328083061 7104110748 10656166122 21312332244