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232103314411400 = 23526119979526721
BaseRepresentation
bin110100110001100011000011…
…100110110100111110001000
31010102210212020001110112222002
4310301203003212310332020
5220410240041442131100
62141350442440050132
766613624334354435
oct6461430346647610
91112725201415862
10232103314411400
1167a56510078663
1222047216463948
139c6833032b9b3
144145c08b6cb8c
151bc781702d2d5
hexd318c39b4f88

232103314411400 has 96 divisors (see below), whose sum is σ = 548761479729480. Its totient is φ = 91273598976000.

The previous prime is 232103314411351. The next prime is 232103314411417. The reversal of 232103314411400 is 4114413301232.

It can be written as a sum of positive squares in 12 ways, for example, as 1885145476036 + 230218168935364 = 1373006^2 + 15172942^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19600040 + ... + 29126760.

Almost surely, 2232103314411400 is an apocalyptic number.

232103314411400 is a gapful number since it is divisible by the number (20) 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 232103314411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274380739864740).

232103314411400 is an abundant number, since it is smaller than the sum of its proper divisors (316658165318080).

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

232103314411400 is a wasteful number, since it uses less digits than its factorization.

232103314411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528795 (or 9528786 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 232103314411400 its reverse (4114413301232), we get a palindrome (236217727712632).

The spelling of 232103314411400 in words is "two hundred thirty-two trillion, one hundred three billion, three hundred fourteen million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 1997 2440 3050 3994 6100 7988 9985 12200 15976 19970 39940 49925 79880 99850 121817 199700 243634 399400 487268 609085 974536 1218170 2436340 3045425 4872680 6090850 9526721 12181700 19053442 24363400 38106884 47633605 76213768 95267210 190534420 238168025 381068840 476336050 581129981 952672100 1162259962 1905344200 2324519924 2905649905 4649039848 5811299810 11622599620 14528249525 19024861837 23245199240 29056499050 38049723674 58112998100 76099447348 95124309185 116225996200 152198894696 190248618370 380497236740 475621545925 760994473480 951243091850 1160516572057 1902486183700 2321033144114 3804972367400 4642066288228 5802582860285 9284132576456 11605165720570 23210331441140 29012914301425 46420662882280 58025828602850 116051657205700 232103314411400