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102225315126 = 23117272130493
BaseRepresentation
bin101111100110100011…
…0101000010100110110
3100202212020222001201110
41133031012220110312
53133324140041001
6114543415135450
710246144561464
oct1371506502466
9322766861643
10102225315126
113a398586310
121798b074586
13984186585c
144d3a80b834
1529d47a73d6
hex17cd1a8536

102225315126 has 32 divisors (see below), whose sum is σ = 223343947008. Its totient is φ = 30934743840.

The previous prime is 102225315119. The next prime is 102225315187. The reversal of 102225315126 is 621513522201.

It is a super-2 number, since 2×1022253151262 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102225315093 and 102225315102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017265 + ... + 1113228.

It is an arithmetic number, because the mean of its divisors is an integer number (6979498344).

Almost surely, 2102225315126 is an apocalyptic number.

102225315126 is an abundant number, since it is smaller than the sum of its proper divisors (121118631882).

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

102225315126 is a wasteful number, since it uses less digits than its factorization.

102225315126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131236.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 102225315126 its reverse (621513522201), we get a palindrome (723738837327).

The spelling of 102225315126 in words is "one hundred two billion, two hundred twenty-five million, three hundred fifteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 727 1454 2181 4362 7997 15994 23991 47982 2130493 4260986 6391479 12782958 23435423 46870846 70306269 140612538 1548868411 3097736822 4646605233 9293210466 17037552521 34075105042 51112657563 102225315126