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100022212112112 = 24322932370644011
BaseRepresentation
bin10110101111100000111100…
…011011000010111011110000
3111010011000210221022201212200
4112233200330123002323300
5101102230442300041422
6552421323033223200
730032236442032503
oct2657407433027360
9433130727281780
10100022212112112
1129963200188824
12b274b84561b00
1343a7091c03254
141a9b15ac0913a
15b86c1984b2ac
hex5af83c6c2ef0

100022212112112 has 60 divisors (see below), whose sum is σ = 280878643829784. Its totient is φ = 33226946444160.

The previous prime is 100022212112099. The next prime is 100022212112143. The reversal of 100022212112112 is 211211212220001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185279814 + ... + 1185364197.

Almost surely, 2100022212112112 is an apocalyptic number.

100022212112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022212112112 is an abundant number, since it is smaller than the sum of its proper divisors (180856431717672).

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

100022212112112 is a wasteful number, since it uses less digits than its factorization.

100022212112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370644318 (or 2370644309 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100022212112112 its reverse (211211212220001), we get a palindrome (311233424332113).

The spelling of 100022212112112 in words is "one hundred trillion, twenty-two billion, two hundred twelve million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 10548 14064 21096 42192 2370644011 4741288022 7111932033 9482576044 14223864066 18965152088 21335796099 28447728132 37930304176 42671592198 56895456264 85343184396 113790912528 170686368792 341372737584 694598695223 1389197390446 2083796085669 2778394780892 4167592171338 5556789561784 6251388257007 8335184342676 11113579123568 12502776514014 16670368685352 25005553028028 33340737370704 50011106056056 100022212112112