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112694149120 = 21457196523
BaseRepresentation
bin110100011110100011…
…0000100000000000000
3101202212211220221011211
41220331012010000000
53321244200232440
6123434310415504
711066444314420
oct1507506040000
9352784827154
10112694149120
114387aa00233
1219a11061594
13a81c715497
145650d32480
152de88c3eea
hex1a3d184000

112694149120 has 120 divisors (see below), whose sum is σ = 309096091584. Its totient is φ = 38637797376.

The previous prime is 112694149111. The next prime is 112694149151. The reversal of 112694149120 is 21941496211.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 475179 + ... + 671701.

Almost surely, 2112694149120 is an apocalyptic number.

112694149120 is a gapful number since it is divisible by the number (10) 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 112694149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154548045792).

112694149120 is an abundant number, since it is smaller than the sum of its proper divisors (196401942464).

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

112694149120 is an frugal number, since it uses more digits than its factorization.

112694149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196563 (or 196537 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 112694149120 in words is "one hundred twelve billion, six hundred ninety-four million, one hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8192 8960 10240 14336 16384 17920 20480 28672 35840 40960 57344 71680 81920 114688 143360 196523 286720 393046 573440 786092 982615 1375661 1572184 1965230 2751322 3144368 3930460 5502644 6288736 6878305 7860920 11005288 12577472 13756610 15721840 22010576 25154944 27513220 31443680 44021152 50309888 55026440 62887360 88042304 100619776 110052880 125774720 176084608 201239552 220105760 251549440 352169216 402479104 440211520 503098880 704338432 804958208 880423040 1006197760 1408676864 1609916416 1760846080 2012395520 2817353728 3219832832 3521692160 4024791040 5634707456 7043384320 8049582080 11269414912 14086768640 16099164160 22538829824 28173537280 56347074560 112694149120