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100122022120 = 23514919938429
BaseRepresentation
bin101110100111110111…
…1001101000011101000
3100120102200020201010111
41131033233031003220
53120022214201440
6113555002224104
710143055101061
oct1351757150350
9316380221114
10100122022120
11395092a912a
12174a27b5034
139597b93b93
144bbb345568
15290ecde4ea
hex174fbcd0e8

100122022120 has 64 divisors (see below), whose sum is σ = 226927170000. Its totient is φ = 39755347968.

The previous prime is 100122022111. The next prime is 100122022123. The reversal of 100122022120 is 21220221001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17685276196 + 82436745924 = 132986^2 + 287118^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100122022120.

It is not an unprimeable number, because it can be changed into a prime (100122022123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11874066 + ... + 11882494.

Almost surely, 2100122022120 is an apocalyptic number.

100122022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122022120 is an abundant number, since it is smaller than the sum of its proper divisors (126805147880).

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

100122022120 is a wasteful number, since it uses less digits than its factorization.

100122022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10582 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100122022120 its reverse (21220221001), we get a palindrome (121342243121).

The spelling of 100122022120 in words is "one hundred billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 1993 2980 3986 5960 7972 8429 9965 15944 16858 19930 33716 39860 42145 67432 79720 84290 168580 296957 337160 593914 1187828 1255921 1484785 2375656 2511842 2969570 5023684 5939140 6279605 10047368 11878280 12559210 16798997 25118420 33597994 50236840 67195988 83994985 134391976 167989970 335979940 671959880 2503050553 5006101106 10012202212 12515252765 20024404424 25030505530 50061011060 100122022120