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112034723352 = 233378312711969
BaseRepresentation
bin110100001010111001…
…0100011011000011000
3101201011220002122002020
41220111302203120120
53313421342121402
6123245032534440
711044216302336
oct1502562433030
9351156078066
10112034723352
1143571753962
1219868251420
13a745c11116
1455cb51ab56
152daaa688bc
hex1a15ca3618

112034723352 has 128 divisors (see below), whose sum is σ = 293439283200. Its totient is φ = 35612172288.

The previous prime is 112034723347. The next prime is 112034723357. The reversal of 112034723352 is 253327430211.

It is an interprime number because it is at equal distance from previous prime (112034723347) and next prime (112034723357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112034723357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9354424 + ... + 9366392.

It is an arithmetic number, because the mean of its divisors is an integer number (2292494400).

Almost surely, 2112034723352 is an apocalyptic number.

112034723352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112034723352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146719641600).

112034723352 is an abundant number, since it is smaller than the sum of its proper divisors (181404559848).

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

112034723352 is a wasteful number, since it uses less digits than its factorization.

112034723352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12225 (or 12221 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 112034723352 in words is "one hundred twelve billion, thirty-four million, seven hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 83 111 127 148 166 222 249 254 296 332 381 444 498 508 664 762 888 996 1016 1524 1992 3048 3071 4699 6142 9213 9398 10541 11969 12284 14097 18426 18796 21082 23938 24568 28194 31623 35907 36852 37592 42164 47876 56388 63246 71814 73704 84328 95752 112776 126492 143628 252984 287256 390017 442853 780034 885706 993427 1170051 1328559 1520063 1560068 1771412 1986854 2340102 2657118 2980281 3040126 3120136 3542824 3973708 4560189 4680204 5314236 5960562 6080252 7947416 9120378 9360408 10628472 11921124 12160504 18240756 23842248 36481512 36756799 56242331 73513598 110270397 112484662 126165229 147027196 168726993 220540794 224969324 252330458 294054392 337453986 378495687 441081588 449938648 504660916 674907972 756991374 882163176 1009321832 1349815944 1513982748 3027965496 4668113473 9336226946 14004340419 18672453892 28008680838 37344907784 56017361676 112034723352