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112313222100 = 2232521011235569
BaseRepresentation
bin110100010011001100…
…0111100001111010100
3101201220022010211112200
41220212120330033110
53320004141101400
6123332422044500
711054140431132
oct1504630741724
9351808124480
10112313222100
11436a4982112
1219925579730
13a78b821391
1456164d4752
152dc522bb00
hex1a2663c3d4

112313222100 has 108 divisors (see below), whose sum is σ = 355525382940. Its totient is φ = 29653632000.

The previous prime is 112313222069. The next prime is 112313222113. The reversal of 112313222100 is 1222313211.

112313222100 is a `hidden beast` number, since 11 + 231 + 322 + 2 + 100 = 666.

112313222100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10125591876 + 102187630224 = 100626^2 + 319668^2 .

It is a super-2 number, since 2×1123132221002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 526885 + ... + 708684.

Almost surely, 2112313222100 is an apocalyptic number.

112313222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112313222100 is an abundant number, since it is smaller than the sum of its proper divisors (243212160840).

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

112313222100 is a wasteful number, since it uses less digits than its factorization.

112313222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235690 (or 1235680 counting only the distinct ones).

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

Adding to 112313222100 its reverse (1222313211), we get a palindrome (113535535311).

The spelling of 112313222100 in words is "one hundred twelve billion, three hundred thirteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 101 150 180 202 225 300 303 404 450 505 606 900 909 1010 1212 1515 1818 2020 2525 3030 3636 4545 5050 6060 7575 9090 10100 15150 18180 22725 30300 45450 90900 1235569 2471138 3706707 4942276 6177845 7413414 11120121 12355690 14826828 18533535 22240242 24711380 30889225 37067070 44480484 55600605 61778450 74134140 92667675 111201210 123556900 124792469 185335350 222402420 249584938 278003025 370670700 374377407 499169876 556006050 623962345 748754814 1112012100 1123132221 1247924690 1497509628 1871887035 2246264442 2495849380 3119811725 3743774070 4492528884 5615661105 6239623450 7487548140 9359435175 11231322210 12479246900 18718870350 22462644420 28078305525 37437740700 56156611050 112313222100