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103320211300332 = 223132973331157221
BaseRepresentation
bin10111011111100000011100…
…011111100001111111101100
3111112211022112011122021021220
4113133200130133201333230
5102020244243043102312
61003424352205423340
730522432103426605
oct2737403437417754
9445738464567256
10103320211300332
112aa149457aa244
12b70819586ab50
134586091b92050
141b72a21216dac
15be28e0c7ac8c
hex5df81c7e1fec

103320211300332 has 96 divisors (see below), whose sum is σ = 268944155148480. Its totient is φ = 30652722293760.

The previous prime is 103320211300331. The next prime is 103320211300333. The reversal of 103320211300332 is 233003112023301.

It is an interprime number because it is at equal distance from previous prime (103320211300331) and next prime (103320211300333).

It is not an unprimeable number, because it can be changed into a prime (103320211300331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12262519 + ... + 18894702.

It is an arithmetic number, because the mean of its divisors is an integer number (2801501616130).

Almost surely, 2103320211300332 is an apocalyptic number.

103320211300332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103320211300332 is an abundant number, since it is smaller than the sum of its proper divisors (165623943848148).

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

103320211300332 is a wasteful number, since it uses less digits than its factorization.

103320211300332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31158003 (or 31158001 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103320211300332 its reverse (233003112023301), we get a palindrome (336323323323633).

The spelling of 103320211300332 in words is "one hundred three trillion, three hundred twenty billion, two hundred eleven million, three hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 733 754 1131 1466 1508 2199 2262 2932 4398 4524 8796 9529 19058 21257 28587 38116 42514 57174 63771 85028 114348 127542 255084 276341 552682 829023 1105364 1658046 3316092 31157221 62314442 93471663 124628884 186943326 373886652 405043873 810087746 903559409 1215131619 1620175492 1807118818 2430263238 2710678227 3614237636 4860526476 5421356454 10842712908 11746272317 22838242993 23492544634 35238816951 45676485986 46985089268 68514728979 70477633902 91352971972 137029457958 140955267804 274058915916 296897158909 593794317818 662309046797 890691476727 1187588635636 1324618093594 1781382953454 1986927140391 2649236187188 3562765906908 3973854280782 7947708561564 8610017608361 17220035216722 25830052825083 34440070433444 51660105650166 103320211300332