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112202013312 = 273297397581
BaseRepresentation
bin110100001111111000…
…0101101101010000000
3101201121112212211202200
41220133300231222000
53314242203411222
6123313410313200
711051320243224
oct1503760555200
9351545784680
10112202013312
1143648125324
12198b4288800
13a771784a6c
145605826784
152dba5b0eac
hex1a1fc2da80

112202013312 has 48 divisors (see below), whose sum is σ = 322872984330. Its totient is φ = 37400670720.

The previous prime is 112202013263. The next prime is 112202013377. The reversal of 112202013312 is 213310202211.

112202013312 is a `hidden beast` number, since 112 + 20 + 201 + 331 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75898046016 + 36303967296 = 275496^2 + 190536^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48697639 + ... + 48699942.

Almost surely, 2112202013312 is an apocalyptic number.

112202013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112202013312 is an abundant number, since it is smaller than the sum of its proper divisors (210670971018).

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

112202013312 is an equidigital number, since it uses as much as digits as its factorization.

112202013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97397601 (or 97397586 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112202013312 its reverse (213310202211), we get a palindrome (325512215523).

The spelling of 112202013312 in words is "one hundred twelve billion, two hundred two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 97397581 194795162 292192743 389590324 584385486 779180648 876578229 1168770972 1558361296 1753156458 2337541944 3116722592 3506312916 4675083888 6233445184 7012625832 9350167776 12466890368 14025251664 18700335552 28050503328 37400671104 56101006656 112202013312