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102112213122 = 23215167355823
BaseRepresentation
bin101111100011001011…
…1001011100010000010
3100202120101010212221100
41133012113023202002
53133111211304442
6114524255035230
710243302330153
oct1370627134202
9322511125840
10102112213122
113a33a756087
121795920bb16
1398242b55aa
144d297a992a
1529c98b584c
hex17c65cb882

102112213122 has 48 divisors (see below), whose sum is σ = 223043228928. Its totient is φ = 33761145600.

The previous prime is 102112213121. The next prime is 102112213139. The reversal of 102112213122 is 221312211201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102112213095 and 102112213104.

It is not an unprimeable number, because it can be changed into a prime (102112213121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801303 + ... + 1857125.

It is an arithmetic number, because the mean of its divisors is an integer number (4646733936).

Almost surely, 2102112213122 is an apocalyptic number.

102112213122 is an abundant number, since it is smaller than the sum of its proper divisors (120931015806).

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

102112213122 is a wasteful number, since it uses less digits than its factorization.

102112213122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56655 (or 56652 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102112213122 its reverse (221312211201), we get a palindrome (323424424323).

The spelling of 102112213122 in words is "one hundred two billion, one hundred twelve million, two hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 151 302 453 673 906 1346 1359 2019 2718 4038 6057 12114 55823 101623 111646 167469 203246 304869 334938 502407 609738 914607 1004814 1829214 8429273 16858546 25287819 37568879 50575638 75137758 75863457 112706637 151726914 225413274 338119911 676239822 5672900729 11345801458 17018702187 34037404374 51056106561 102112213122