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21231132312 = 233131712293257
BaseRepresentation
bin10011110001011110…
…010101111010011000
32000210122010021021210
4103301132111322120
5321440132213222
613430424503120
71351061434635
oct236136257230
960718107253
1021231132312
119005469a45
12414631aaa0
13200477c5b0
1410559db18c
15843da5d0c
hex4f1795e98

21231132312 has 128 divisors (see below), whose sum is σ = 60590980800. Its totient is φ = 6141493248.

The previous prime is 21231132283. The next prime is 21231132313. The reversal of 21231132312 is 21323113212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21231132313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6516988 + ... + 6520244.

Almost surely, 221231132312 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 21231132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30295490400).

21231132312 is an abundant number, since it is smaller than the sum of its proper divisors (39359848488).

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

21231132312 is a wasteful number, since it uses less digits than its factorization.

21231132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4521 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 21231132312 its reverse (21323113212), we get a palindrome (42554245524).

The spelling of 21231132312 in words is "twenty-one billion, two hundred thirty-one million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1229 1326 1768 2458 2652 3257 3687 4916 5304 6514 7374 9771 9832 13028 14748 15977 19542 20893 26056 29496 31954 39084 41786 42341 47931 55369 62679 63908 78168 83572 84682 95862 110738 125358 127023 127816 166107 167144 169364 191724 221476 250716 254046 271609 332214 338728 383448 442952 501432 508092 543218 664428 719797 814827 1016184 1086436 1328856 1439594 1629654 2159391 2172872 2879188 3259308 4002853 4318782 5758376 6518616 8005706 8637564 12008559 16011412 17275128 24017118 32022824 48034236 52037089 68048501 96068472 104074178 136097002 156111267 204145503 208148356 272194004 312222534 408291006 416296712 544388008 624445068 816582012 884630513 1248890136 1633164024 1769261026 2653891539 3538522052 5307783078 7077044104 10615566156 21231132312