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112566252630 = 235132831019899
BaseRepresentation
bin110100011010101111…
…0001011010001010110
3101202112221021010011210
41220311132023101112
53321013430041010
6123413501242250
711063332234356
oct1506536132126
9352487233153
10112566252630
1143814795757
1219996263386
13a7cc0852a0
14563bd5cb66
152ddc55db20
hex1a3578b456

112566252630 has 64 divisors (see below), whose sum is σ = 291968812800. Its totient is φ = 27610678656.

The previous prime is 112566252629. The next prime is 112566252697. The reversal of 112566252630 is 36252665211.

It is a super-2 number, since 2×1125662526302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399580 + ... + 620319.

It is an arithmetic number, because the mean of its divisors is an integer number (4562012700).

Almost surely, 2112566252630 is an apocalyptic number.

112566252630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112566252630 is an abundant number, since it is smaller than the sum of its proper divisors (179402560170).

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

112566252630 is a wasteful number, since it uses less digits than its factorization.

112566252630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020205.

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 112566252630 in words is "one hundred twelve billion, five hundred sixty-six million, two hundred fifty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 283 390 566 849 1415 1698 2830 3679 4245 7358 8490 11037 18395 22074 36790 55185 110370 1019899 2039798 3059697 5099495 6119394 10198990 13258687 15298485 26517374 30596970 39776061 66293435 79552122 132586870 198880305 288631417 397760610 577262834 865894251 1443157085 1731788502 2886314170 3752208421 4329471255 7504416842 8658942510 11256625263 18761042105 22513250526 37522084210 56283126315 112566252630