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112001003000 = 2353233557863
BaseRepresentation
bin110100001001111000…
…1111010110111111000
3101201002112122110110022
41220103301322313320
53313334224044000
6123241430110012
711043326550305
oct1502361726770
9351075573408
10112001003000
11435547122a7
1219858aab308
13a73bc35953
1455c6c600ac
152da7b07585
hex1a13c7adf8

112001003000 has 128 divisors (see below), whose sum is σ = 263985246720. Its totient is φ = 44476441600.

The previous prime is 112001002991. The next prime is 112001003033. The reversal of 112001003000 is 300100211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129780569 + ... + 129781431.

It is an arithmetic number, because the mean of its divisors is an integer number (2062384740).

Almost surely, 2112001003000 is an apocalyptic number.

112001003000 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 112001003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131992623360).

112001003000 is an abundant number, since it is smaller than the sum of its proper divisors (151984243720).

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

112001003000 is a wasteful number, since it uses less digits than its factorization.

112001003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 112001003000 its reverse (300100211), we get a palindrome (112301103211).

The spelling of 112001003000 in words is "one hundred twelve billion, one million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 557 863 932 1000 1114 1165 1726 1864 2228 2330 2785 3452 4315 4456 4660 5570 5825 6904 8630 9320 11140 11650 13925 17260 21575 22280 23300 27850 29125 34520 43150 46600 55700 58250 69625 86300 107875 111400 116500 129781 139250 172600 201079 215750 233000 259562 278500 402158 431500 480691 519124 557000 648905 804316 863000 961382 1005395 1038248 1297810 1608632 1922764 2010790 2403455 2595620 3244525 3845528 4021580 4806910 5026975 5191240 6489050 8043160 9613820 10053950 12017275 12978100 16222625 19227640 20107900 24034550 25134875 25956200 32445250 40215800 48069100 50269750 60086375 64890500 96138200 100539500 112001003 120172750 129781000 201079000 224002006 240345500 448004012 480691000 560005015 896008024 1120010030 2240020060 2800025075 4480040120 5600050150 11200100300 14000125375 22400200600 28000250750 56000501500 112001003000