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102414132002 = 271317123726759
BaseRepresentation
bin101111101100001011…
…0111010001100100010
3100210100102020221210002
41133120112322030202
53134221004211002
6115014242140002
710253626521140
oct1373026721442
9323312227702
10102414132002
113a485120216
1217a22351602
139871a05910
144d5791c590
1529e6153002
hex17d85ba322

102414132002 has 64 divisors (see below), whose sum is σ = 200363466240. Its totient is φ = 38099966976.

The previous prime is 102414131969. The next prime is 102414132013. The reversal of 102414132002 is 200231414201.

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 31 ways as a sum of consecutive naturals, for example, 3813899 + ... + 3840657.

It is an arithmetic number, because the mean of its divisors is an integer number (3130679160).

Almost surely, 2102414132002 is an apocalyptic number.

102414132002 is a deficient number, since it is larger than the sum of its proper divisors (97949334238).

102414132002 is a wasteful number, since it uses less digits than its factorization.

102414132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28035.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102414132002 its reverse (200231414201), we get a palindrome (302645546203).

The spelling of 102414132002 in words is "one hundred two billion, four hundred fourteen million, one hundred thirty-two thousand, two".

Divisors: 1 2 7 13 14 17 26 34 91 119 182 221 238 442 1237 1547 2474 3094 8659 16081 17318 21029 26759 32162 42058 53518 112567 147203 187313 225134 273377 294406 347867 374626 454903 546754 695734 909806 1913639 2435069 3184321 3827278 4870138 5913739 6368642 11827478 33100883 41396173 66201766 82792346 231706181 430311479 463412362 562715011 860622958 1125430022 3012180353 3939005077 6024360706 7315295143 7878010154 14630590286 51207066001 102414132002