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112052052630 = 23257208785223
BaseRepresentation
bin110100001011011010…
…0101010001010010110
3101201020002201001101100
41220112310222022112
53313440311141010
6123250452210530
711044516506120
oct1502664521226
9351202631340
10112052052630
114358050a681
1219872009a46
13a74969aa2b
1455cd94c210
152dac33d2c0
hex1a16d2a296

112052052630 has 96 divisors (see below), whose sum is σ = 333118116864. Its totient is φ = 25599325248.

The previous prime is 112052052617. The next prime is 112052052643. The reversal of 112052052630 is 36250250211.

It is a happy number.

112052052630 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 5 + 20 + 5 + 2 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (112052052617) and next prime (112052052643).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112052052594 and 112052052603.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1272199 + ... + 1357421.

It is an arithmetic number, because the mean of its divisors is an integer number (3469980384).

Almost surely, 2112052052630 is an apocalyptic number.

112052052630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112052052630 is an abundant number, since it is smaller than the sum of its proper divisors (221066064234).

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

112052052630 is a wasteful number, since it uses less digits than its factorization.

112052052630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87330 (or 87327 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 112052052630 in words is "one hundred twelve billion, fifty-two million, fifty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 2087 4174 6261 10435 12522 14609 18783 20870 29218 31305 37566 43827 62610 73045 85223 87654 93915 131481 146090 170446 187830 219135 255669 262962 426115 438270 511338 596561 657405 767007 852230 1193122 1278345 1314810 1534014 1789683 2556690 2982805 3579366 3835035 5369049 5965610 7670070 8948415 10738098 17896830 26845245 53690490 177860401 355720802 533581203 889302005 1067162406 1245022807 1600743609 1778604010 2490045614 2667906015 3201487218 3735068421 5335812030 6225114035 7470136842 8003718045 11205205263 12450228070 16007436090 18675342105 22410410526 37350684210 56026026315 112052052630