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100112220012 = 223731371039069
BaseRepresentation
bin101110100111100100…
…1110011111101101100
3100120101222210201011110
41131033021303331230
53120012212020022
6113554012152020
710142605554360
oct1351711637554
9316358721143
10100112220012
1139503813712
121749b468610
139595b4140c
144bb9d132a0
15290e00500c
hex174f273f6c

100112220012 has 96 divisors (see below), whose sum is σ = 283026042880. Its totient is φ = 26932642560.

The previous prime is 100112220011. The next prime is 100112220041. The reversal of 100112220012 is 210022211001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100112220012.

It is not an unprimeable number, because it can be changed into a prime (100112220011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 423187 + ... + 615882.

Almost surely, 2100112220012 is an apocalyptic number.

100112220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112220012 is an abundant number, since it is smaller than the sum of its proper divisors (182913822868).

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

100112220012 is a wasteful number, since it uses less digits than its factorization.

100112220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039151 (or 1039149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100112220012 its reverse (210022211001), we get a palindrome (310134431013).

The spelling of 100112220012 in words is "one hundred billion, one hundred twelve million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 37 42 62 74 84 93 111 124 148 186 217 222 259 372 434 444 518 651 777 868 1036 1147 1302 1554 2294 2604 3108 3441 4588 6882 8029 13764 16058 24087 32116 48174 96348 1039069 2078138 3117207 4156276 6234414 7273483 12468828 14546966 21820449 29093932 32211139 38445553 43640898 64422278 76891106 87281796 96633417 115336659 128844556 153782212 193266834 225477973 230673318 269118871 386533668 450955946 461346636 538237742 676433919 807356613 901911892 1076475484 1191812143 1352867838 1614713226 2383624286 2705735676 3229426452 3575436429 4767248572 7150872858 8342685001 14301745716 16685370002 25028055003 33370740004 50056110006 100112220012