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105512202400 = 25521111990023
BaseRepresentation
bin110001001000100000…
…1000111000010100000
3101002100022211020102011
41202101001013002200
53212042110434100
6120245512402304
710423455631303
oct1422101070240
9332308736364
10105512202400
1140824984380
12185479a6394
139c46806577
14516d172b3a
152b28119bba
hex18910470a0

105512202400 has 72 divisors (see below), whose sum is σ = 280998202464. Its totient is φ = 38368070400.

The previous prime is 105512202379. The next prime is 105512202437. The reversal of 105512202400 is 4202215501.

It is a super-2 number, since 2×1055122024002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5986212 + ... + 6003811.

It is an arithmetic number, because the mean of its divisors is an integer number (3902752812).

Almost surely, 2105512202400 is an apocalyptic number.

105512202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105512202400 is an abundant number, since it is smaller than the sum of its proper divisors (175486000064).

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

105512202400 is a wasteful number, since it uses less digits than its factorization.

105512202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11990054 (or 11990041 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 105512202400 its reverse (4202215501), we get a palindrome (109714417901).

The spelling of 105512202400 in words is "one hundred five billion, five hundred twelve million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 11990023 23980046 47960092 59950115 95920184 119900230 131890253 191840368 239800460 263780506 299750575 383680736 479600920 527561012 599501150 659451265 959201840 1055122024 1199002300 1318902530 1918403680 2110244048 2398004600 2637805060 3297256325 4220488096 4796009200 5275610120 6594512650 9592018400 10551220240 13189025300 21102440480 26378050600 52756101200 105512202400