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21332155123312 = 24112109733137911
BaseRepresentation
bin1001101100110110001111…
…00001110100011001110000
32210112100000120100110122221
410312123013201310121300
510244001223202421222
6113211505021410424
74331124455522425
oct466330741643160
983470016313587
1021332155123312
116884a09491300
122486393709a14
13bb97c90c1457
1453a6a6169d4c
1526ed71bda0c7
hex1366c7874670

21332155123312 has 120 divisors (see below), whose sum is σ = 45909666350240. Its totient is φ = 9594299404800.

The previous prime is 21332155123271. The next prime is 21332155123339.

21332155123312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154611637 + ... + 154749547.

Almost surely, 221332155123312 is an apocalyptic number.

21332155123312 is a gapful number since it is divisible by the number (22) 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 21332155123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22954833175120).

21332155123312 is an abundant number, since it is smaller than the sum of its proper divisors (24577511226928).

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

21332155123312 is a wasteful number, since it uses less digits than its factorization.

21332155123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138783 (or 138766 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

It can be divided in two parts, 2133215 and 5123312, that added together give a palindrome (7256527).

The spelling of 21332155123312 in words is "twenty-one trillion, three hundred thirty-two billion, one hundred fifty-five million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 109 121 176 218 242 436 484 733 872 968 1199 1466 1744 1936 2398 2932 4796 5864 8063 9592 11728 13189 16126 19184 26378 32252 52756 64504 79897 88693 105512 129008 137911 159794 177386 211024 275822 319588 354772 551644 639176 709544 878867 1103288 1278352 1419088 1517021 1757734 2206576 3034042 3515468 6068084 7030936 9667537 12136168 14061872 15032299 16687231 19335074 24272336 30064598 33374462 38670148 60129196 66748924 77340296 101088763 120258392 133497848 154680592 165355289 202177526 240516784 266995696 330710578 404355052 661421156 808710104 1111976393 1322842312 1617420208 1818908179 2223952786 2645684624 3637816358 4447905572 7275632716 8895811144 11018675167 12231740323 14551265432 17791622288 22037350334 24463480646 29102530864 44074700668 48926961292 88149401336 97853922584 121205426837 176298802672 195707845168 242410853674 484821707348 969643414696 1333259695207 1939286829392 2666519390414 5333038780828 10666077561656 21332155123312