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102111122120 = 2357364682579
BaseRepresentation
bin101111100011001001…
…1000001001011001000
3100202120022002110100212
41133012103001023020
53133110421401440
6114524215420252
710243260134330
oct1370623011310
9322508073325
10102111122120
113a33a080427
1217958984688
139823cc2b27
144d295a40c0
1529c974c465
hex17c64c12c8

102111122120 has 32 divisors (see below), whose sum is σ = 262571457600. Its totient is φ = 35009527488.

The previous prime is 102111122119. The next prime is 102111122123. The reversal of 102111122120 is 21221111201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102111122095 and 102111122104.

It is not an unprimeable number, because it can be changed into a prime (102111122123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182341010 + ... + 182341569.

It is an arithmetic number, because the mean of its divisors is an integer number (8205358050).

Almost surely, 2102111122120 is an apocalyptic number.

102111122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111122120 is an abundant number, since it is smaller than the sum of its proper divisors (160460335480).

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

102111122120 is a wasteful number, since it uses less digits than its factorization.

102111122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364682597 (or 364682593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102111122120 its reverse (21221111201), we get a palindrome (123332233321).

The spelling of 102111122120 in words is "one hundred two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 364682579 729365158 1458730316 1823412895 2552778053 2917460632 3646825790 5105556106 7293651580 10211112212 12763890265 14587303160 20422224424 25527780530 51055561060 102111122120