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112070266080 = 25351271838423
BaseRepresentation
bin110100001011111101…
…0001000110011100000
3101201021100222101112120
41220113322020303200
53314004442003310
6123252342424240
711045130354423
oct1502772106340
9351240871476
10112070266080
114358a81a713
1219878132080
13a7503a6c16
1455d212d9ba
152dadc39b70
hex1a17e88ce0

112070266080 has 96 divisors (see below), whose sum is σ = 355801227264. Its totient is φ = 29650070016.

The previous prime is 112070266067. The next prime is 112070266093. The reversal of 112070266080 is 80662070211.

It is an interprime number because it is at equal distance from previous prime (112070266067) and next prime (112070266093).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1120702660803 (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 858252 + ... + 980171.

It is an arithmetic number, because the mean of its divisors is an integer number (3706262784).

Almost surely, 2112070266080 is an apocalyptic number.

112070266080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112070266080 is an abundant number, since it is smaller than the sum of its proper divisors (243730961184).

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

112070266080 is a wasteful number, since it uses less digits than its factorization.

112070266080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838568 (or 1838560 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 112070266080 in words is "one hundred twelve billion, seventy million, two hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 4064 5080 6096 7620 10160 12192 15240 20320 30480 60960 1838423 3676846 5515269 7353692 9192115 11030538 14707384 18384230 22061076 27576345 29414768 36768460 44122152 55152690 58829536 73536920 88244304 110305380 147073840 176488608 220610760 233479721 294147680 441221520 466959442 700439163 882443040 933918884 1167398605 1400878326 1867837768 2334797210 2801756652 3502195815 3735675536 4669594420 5603513304 7004391630 7471351072 9339188840 11207026608 14008783260 18678377680 22414053216 28017566520 37356755360 56035133040 112070266080