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112122001100 = 22522959655301
BaseRepresentation
bin110100001101011111…
…1011111011011001100
3101201101222022210122102
41220122333133123030
53314111213013400
6123301431334232
711046326166404
oct1503277373314
9351358283572
10112122001100
1143606a45a2a
1219891521378
13a75b01bc65
1455d8d59804
152db35589d5
hex1a1afdf6cc

112122001100 has 72 divisors (see below), whose sum is σ = 255960961200. Its totient is φ = 42568288000.

The previous prime is 112122001049. The next prime is 112122001163. The reversal of 112122001100 is 1100221211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156551 + ... + 498750.

It is an arithmetic number, because the mean of its divisors is an integer number (3555013350).

Almost surely, 2112122001100 is an apocalyptic number.

112122001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122001100 is an abundant number, since it is smaller than the sum of its proper divisors (143838960100).

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

112122001100 is a wasteful number, since it uses less digits than its factorization.

112122001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655403 (or 655396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112122001100 its reverse (1100221211), we get a palindrome (113222222311).

The spelling of 112122001100 in words is "one hundred twelve billion, one hundred twenty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 59 100 116 118 145 236 290 295 580 590 725 1180 1450 1475 1711 2900 2950 3422 5900 6844 8555 17110 34220 42775 85550 171100 655301 1310602 2621204 3276505 6553010 13106020 16382525 19003729 32765050 38007458 38662759 65530100 76014916 77325518 95018645 154651036 190037290 193313795 380074580 386627590 475093225 773255180 950186450 966568975 1121220011 1900372900 1933137950 2242440022 3866275900 4484880044 5606100055 11212200110 22424400220 28030500275 56061000550 112122001100