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21232022023212 = 223711131767567601
BaseRepresentation
bin1001101001111011101110…
…01000010110110000101100
32210011202120010020221101220
410310331313020112300230
510240331140114220322
6113053504541503340
74320651204312120
oct464756710266054
983152503227356
1021232022023212
1168464a4a07120
12246aaa9271b50
13bb022bb4c170
145358c757d580
1526c460e5d55c
hex134f77216c2c

21232022023212 has 96 divisors (see below), whose sum is σ = 66517103998464. Its totient is φ = 5090594688000.

The previous prime is 21232022023211. The next prime is 21232022023259.

21232022023212 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21232022023211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 883771789 + ... + 883795812.

It is an arithmetic number, because the mean of its divisors is an integer number (692886499984).

Almost surely, 221232022023212 is an apocalyptic number.

21232022023212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21232022023212 is an abundant number, since it is smaller than the sum of its proper divisors (45285081975252).

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

21232022023212 is a wasteful number, since it uses less digits than its factorization.

21232022023212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767567639 (or 1767567637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2123202 and 2023212, that added together give a palindrome (4146414).

The spelling of 21232022023212 in words is "twenty-one trillion, two hundred thirty-two billion, twenty-two million, twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 1767567601 3535135202 5302702803 7070270404 10605405606 12372973207 19443243611 21210811212 22978378813 24745946414 37118919621 38886487222 45956757626 49491892828 58329730833 68935136439 74237839242 77772974444 91913515252 116659461666 136102705277 137870272878 148475678484 160848651691 233318923332 252762166943 272205410554 275740545756 321697303382 408308115831 482545955073 505524333886 544410821108 643394606764 758286500829 816616231662 965091910146 1011048667772 1516573001658 1633232463324 1769335168601 1930183820292 3033146003316 3538670337202 5308005505803 7077340674404 10616011011606 21232022023212