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102120112002 = 23158323934493
BaseRepresentation
bin101111100011011010…
…1010011111110000010
3100202120221000012011110
41133012311103332002
53133120222041002
6114525140224150
710243426426026
oct1370665237602
9322527005143
10102120112002
113a344160687
121795b99b056
139825b1c99c
144d2a864386
1529ca425e6c
hex17c6d53f82

102120112002 has 32 divisors (see below), whose sum is σ = 204500153088. Its totient is φ = 33996749696.

The previous prime is 102120111983. The next prime is 102120112007. The reversal of 102120112002 is 200211021201.

It is not an unprimeable number, because it can be changed into a prime (102120112007) 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, 22726468 + ... + 22730960.

It is an arithmetic number, because the mean of its divisors is an integer number (6390629784).

Almost surely, 2102120112002 is an apocalyptic number.

102120112002 is an abundant number, since it is smaller than the sum of its proper divisors (102380041086).

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

102120112002 is a wasteful number, since it uses less digits than its factorization.

102120112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102120112002 its reverse (200211021201), we get a palindrome (302331133203).

It can be divided in two parts, 1021201 and 12002, that added together give a triangular number (1033203 = T1437).

The spelling of 102120112002 in words is "one hundred two billion, one hundred twenty million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 1583 2393 3166 4493 4749 4786 7179 8986 9498 13479 14358 26958 3788119 7112419 7576238 10751749 11364357 14224838 21337257 21503498 22728714 32255247 42674514 64510494 17020018667 34040037334 51060056001 102120112002