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112314313332 = 2232131731387213
BaseRepresentation
bin110100010011001110…
…1000110101001110100
3101201220101012021102200
41220212131012221310
53320004431011312
6123332501304500
711054152624434
oct1504635065164
9351811167380
10112314313332
11436a5557a61
1219925a05130
13a78bb13c90
1456166da2c4
152dc53950dc
hex1a26746a74

112314313332 has 72 divisors (see below), whose sum is σ = 307512050664. Its totient is φ = 34358466816.

The previous prime is 112314313303. The next prime is 112314313361. The reversal of 112314313332 is 233313413211.

112314313332 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 14 + 313 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (112314313303) and next prime (112314313361).

It can be written as a sum of positive squares in 4 ways, for example, as 3853429776 + 108460883556 = 62076^2 + 329334^2 .

It is a super-2 number, since 2×1123143133322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112314313296 and 112314313305.

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, 612643 + ... + 774570.

Almost surely, 2112314313332 is an apocalyptic number.

112314313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112314313332 is an abundant number, since it is smaller than the sum of its proper divisors (195197737332).

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

112314313332 is a wasteful number, since it uses less digits than its factorization.

112314313332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387409 (or 1387404 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 112314313332 its reverse (233313413211), we get a palindrome (345627726543).

The spelling of 112314313332 in words is "one hundred twelve billion, three hundred fourteen million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 173 234 346 468 519 692 1038 1557 2076 2249 3114 4498 6228 6747 8996 13494 20241 26988 40482 80964 1387213 2774426 4161639 5548852 8323278 12484917 16646556 18033769 24969834 36067538 49939668 54101307 72135076 108202614 162303921 216405228 239987849 324607842 479975698 649215684 719963547 959951396 1439927094 2159890641 2879854188 3119842037 4319781282 6239684074 8639562564 9359526111 12479368148 18719052222 28078578333 37438104444 56157156666 112314313332