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102120202002 = 237131711001961
BaseRepresentation
bin101111100011011010…
…1101001111100010010
3100202120221011202121210
41133012311221330102
53133120232431002
6114525142200550
710243430252310
oct1370665517422
9322527152553
10102120202002
113a344212265
121795ba23156
139825b51940
144d2a8890b0
1529ca44296c
hex17c6d69f12

102120202002 has 64 divisors (see below), whose sum is σ = 266159464704. Its totient is φ = 25348515840.

The previous prime is 102120201959. The next prime is 102120202003. The reversal of 102120202002 is 200202021201.

It is not an unprimeable number, because it can be changed into a prime (102120202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5491699 + ... + 5510262.

It is an arithmetic number, because the mean of its divisors is an integer number (4158741636).

Almost surely, 2102120202002 is an apocalyptic number.

102120202002 is an abundant number, since it is smaller than the sum of its proper divisors (164039262702).

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

102120202002 is a wasteful number, since it uses less digits than its factorization.

102120202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11002003.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102120202002 its reverse (200202021201), we get a palindrome (302322223203).

The spelling of 102120202002 in words is "one hundred two billion, one hundred twenty million, two hundred two thousand, two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 3094 4641 9282 11001961 22003922 33005883 66011766 77013727 143025493 154027454 187033337 231041181 286050986 374066674 429076479 462082362 561100011 858152958 1001178451 1122200022 1309233359 2002356902 2431433381 2618466718 3003535353 3927700077 4862866762 6007070706 7294300143 7855400154 14588600286 17020033667 34040067334 51060101001 102120202002