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23021222131232 = 2513371595993719
BaseRepresentation
bin1010011110000000010111…
…10001000111011000100000
310000111210210112220202020022
411033000023301013120200
511004134430331144412
6120543445313333012
74564141226304503
oct517001361073040
9100453715822208
1023021222131232
117376277805046
1226b9800867168
13cacb79761230
1459833988b13a
1529dc7c7a3a72
hex14f00bc47620

23021222131232 has 96 divisors (see below), whose sum is σ = 50132267539200. Its totient is φ = 10337254345728.

The previous prime is 23021222131199. The next prime is 23021222131247. The reversal of 23021222131232 is 23213122212032.

It is a super-3 number, since 3×230212221312323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245594069 + ... + 245687787.

It is an arithmetic number, because the mean of its divisors is an integer number (522211120200).

Almost surely, 223021222131232 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 23021222131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25066133769600).

23021222131232 is an abundant number, since it is smaller than the sum of its proper divisors (27111045407968).

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

23021222131232 is a wasteful number, since it uses less digits than its factorization.

23021222131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109738 (or 109730 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 23021222131232 its reverse (23213122212032), we get a palindrome (46234344343264).

The spelling of 23021222131232 in words is "twenty-three trillion, twenty-one billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 3848 7696 15392 15959 31918 63836 93719 127672 187438 207467 255344 374876 414934 510688 590483 749752 829868 1180966 1218347 1499504 1659736 2361932 2436694 2999008 3319472 3467603 4723864 4873388 6638944 6935206 7676279 9447728 9746776 13870412 15352558 18895456 19493552 27740824 30705116 38987104 45078839 55481648 61410232 90157678 110963296 122820464 180315356 245640928 360630712 721261424 1442522848 1495661521 2991323042 5982646084 11965292168 19443599773 23930584336 38887199546 47861168672 55339476277 77774399092 110678952554 155548798184 221357905108 311097596368 442715810216 622195192736 719413191601 885431620432 1438826383202 1770863240864 2877652766404 5755305532808 11510611065616 23021222131232