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112012100100 = 22335241485963
BaseRepresentation
bin110100001010001110…
…0010000001000000100
3101201010022112020211000
41220110130100020010
53313400044200400
6123242504013300
711043523066335
oct1502434201004
9351108466730
10112012100100
114355aa0175a
1219860761230
13a74131c994
1455c850c28c
152da8a9a600
hex1a14710204

112012100100 has 72 divisors (see below), whose sum is σ = 360098167520. Its totient is φ = 29869892640.

The previous prime is 112012100059. The next prime is 112012100141. The reversal of 112012100100 is 1001210211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112012100059) and next prime (112012100141).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 20740282 + ... + 20745681.

Almost surely, 2112012100100 is an apocalyptic number.

112012100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012100100 is an abundant number, since it is smaller than the sum of its proper divisors (248086067420).

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

112012100100 is a wasteful number, since it uses less digits than its factorization.

112012100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41485986 (or 41485973 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112012100100 its reverse (1001210211), we get a palindrome (113013310311).

The spelling of 112012100100 in words is "one hundred twelve billion, twelve million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 41485963 82971926 124457889 165943852 207429815 248915778 373373667 414859630 497831556 622289445 746747334 829719260 1037149075 1120121001 1244578890 1493494668 1866868335 2074298150 2240242002 2489157780 3111447225 3733736670 4148596300 4480484004 5600605005 6222894450 7467473340 9334341675 11201210010 12445788900 18668683350 22402420020 28003025025 37337366700 56006050050 112012100100