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100020131112 = 23311478060939
BaseRepresentation
bin101110100100110101…
…0100001010100101000
3100120011120112002221110
41131021222201110220
53114320123143422
6113540522310320
710140410041536
oct1351152412450
9316146462843
10100020131112
1139466835990
12174746583a0
13957ca3a745
144bab9c1156
152905db460c
hex1749aa1528

100020131112 has 64 divisors (see below), whose sum is σ = 278586086400. Its totient is φ = 29664251840.

The previous prime is 100020131077. The next prime is 100020131149. The reversal of 100020131112 is 211131020001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4018062 + ... + 4042877.

It is an arithmetic number, because the mean of its divisors is an integer number (4352907600).

Almost surely, 2100020131112 is an apocalyptic number.

100020131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100020131112 is an abundant number, since it is smaller than the sum of its proper divisors (178565955288).

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

100020131112 is a wasteful number, since it uses less digits than its factorization.

100020131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8061006 (or 8061002 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100020131112 its reverse (211131020001), we get a palindrome (311151151113).

Subtracting 100020131112 from its reverse (211131020001), we obtain a square (111110888889 = 3333332).

It can be divided in two parts, 100020 and 131112, that added together give a palindrome (231132).

The spelling of 100020131112 in words is "one hundred billion, twenty million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 12408 8060939 16121878 24182817 32243756 48365634 64487512 88670329 96731268 177340658 193462536 266010987 354681316 378864133 532021974 709362632 757728266 1064043948 1136592399 1515456532 2128087896 2273184798 3030913064 4167505463 4546369596 8335010926 9092739192 12502516389 16670021852 25005032778 33340043704 50010065556 100020131112