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102120310002 = 23191098218277
BaseRepresentation
bin101111100011011011…
…0000100010011110010
3100202120221101020202210
41133012312010103302
53133120244410002
6114525144352550
710243431212214
oct1370666042362
9322527336683
10102120310002
113a344286417
121795ba75756
139825b8bb49
144d2a8b65b4
1529ca46496c
hex17c6d844f2

102120310002 has 32 divisors (see below), whose sum is σ = 216962539200. Its totient is φ = 31952657088.

The previous prime is 102120309943. The next prime is 102120310009. The reversal of 102120310002 is 200013021201.

It is a self number, because there is not a number n which added to its sum of digits gives 102120310002.

It is not an unprimeable number, because it can be changed into a prime (102120310009) by changing a digit.

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, 4096713 + ... + 4121564.

It is an arithmetic number, because the mean of its divisors is an integer number (6780079350).

Almost surely, 2102120310002 is an apocalyptic number.

102120310002 is an abundant number, since it is smaller than the sum of its proper divisors (114842229198).

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

102120310002 is a wasteful number, since it uses less digits than its factorization.

102120310002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218410.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102120310002 its reverse (200013021201), we get a palindrome (302133331203).

The spelling of 102120310002 in words is "one hundred two billion, one hundred twenty million, three hundred ten thousand, two".

Divisors: 1 2 3 6 19 38 57 109 114 218 327 654 2071 4142 6213 12426 8218277 16436554 24654831 49309662 156147263 312294526 468441789 895792193 936883578 1791584386 2687376579 5374753158 17020051667 34040103334 51060155001 102120310002