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232120040021232 = 243112101395698729
BaseRepresentation
bin110100110001110010101000…
…100001111101110011110000
31010102212110101200122120022220
4310301302220201331303300
5220411023320221134412
62141402250240001040
766615055656611346
oct6461625041756360
91112773350576286
10232120040021232
1167a62613264900
122204a503900180
139c69a9751cc4c
144146954223996
151bc7e955a468c
hexd31ca887dcf0

232120040021232 has 120 divisors (see below), whose sum is σ = 665638072426320. Its totient is φ = 69642976128000.

The previous prime is 232120040021153. The next prime is 232120040021251.

232120040021232 is nontrivially palindromic in base 10.

232120040021232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 197262757 + ... + 198435972.

It is an arithmetic number, because the mean of its divisors is an integer number (5546983936886).

Almost surely, 2232120040021232 is an apocalyptic number.

232120040021232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232120040021232 is an abundant number, since it is smaller than the sum of its proper divisors (433518032405088).

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

232120040021232 is a wasteful number, since it uses less digits than its factorization.

232120040021232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395698863 (or 395698846 counting only the distinct ones).

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

The spelling of 232120040021232 in words is "two hundred thirty-two trillion, one hundred twenty billion, forty million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 121 132 176 202 242 264 303 363 404 484 528 606 726 808 968 1111 1212 1452 1616 1936 2222 2424 2904 3333 4444 4848 5808 6666 8888 12221 13332 17776 24442 26664 36663 48884 53328 73326 97768 146652 195536 293304 586608 395698729 791397458 1187096187 1582794916 2374192374 3165589832 4352686019 4748384748 6331179664 8705372038 9496769496 13058058057 17410744076 18993538992 26116116114 34821488152 39965571629 47879546209 52232232228 69642976304 79931143258 95759092418 104464464456 119896714887 143638638627 159862286516 191518184836 208928928912 239793429774 287277277254 319724573032 383036369672 439621287919 479586859548 574554554508 639449146064 766072739344 879242575838 959173719096 1149109109016 1318863863757 1758485151676 1918347438192 2298218218032 2637727727514 3516970303352 4835834167109 5275455455028 7033940606704 9671668334218 10550910910056 14507502501327 19343336668436 21101821820112 29015005002654 38686673336872 58030010005308 77373346673744 116060020010616 232120040021232