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1113221302100 = 2252613127714221
BaseRepresentation
bin10000001100110001001…
…010010000011101010100
310221102102022021111121022
4100030301022100131110
5121214334123131400
62211223511540312
7143266442640545
oct20146112203524
93842368244538
101113221302100
1139a129448a46
1215b8bb68a698
1380c8cc8225b
143bc4739c4cc
151de56568b85
hex10331290754

1113221302100 has 72 divisors (see below), whose sum is σ = 2421696048408. Its totient is φ = 444182745600.

The previous prime is 1113221302069. The next prime is 1113221302147. The reversal of 1113221302100 is 12031223111.

It can be written as a sum of positive squares in 12 ways, for example, as 488561856784 + 624659445316 = 698972^2 + 790354^2 .

It is a super-3 number, since 3×11132213021003 (a number of 37 digits) contains 333 as substring.

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, 78272990 + ... + 78287210.

It is an arithmetic number, because the mean of its divisors is an integer number (33634667339).

Almost surely, 21113221302100 is an apocalyptic number.

1113221302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1113221302100 is an abundant number, since it is smaller than the sum of its proper divisors (1308474746308).

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

1113221302100 is a wasteful number, since it uses less digits than its factorization.

1113221302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125 (or 16118 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1113221302100 its reverse (12031223111), we get a palindrome (1125252525211).

The spelling of 1113221302100 in words is "one trillion, one hundred thirteen billion, two hundred twenty-one million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 613 1226 1277 2452 2554 3065 5108 6130 6385 12260 12770 14221 15325 25540 28442 30650 31925 56884 61300 63850 71105 127700 142210 284420 355525 711050 782801 1422100 1565602 3131204 3914005 7828010 8717473 15656020 17434946 18160217 19570025 34869892 36320434 39140050 43587365 72640868 78280100 87174730 90801085 174349460 181602170 217936825 363204340 435873650 454005425 871747300 908010850 1816021700 11132213021 22264426042 44528852084 55661065105 111322130210 222644260420 278305325525 556610651050 1113221302100