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102002110002 = 23313295010419
BaseRepresentation
bin101111011111111001…
…1001010111000110010
3100202021200222001212000
41132333303022320302
53132400020010002
6114505323114430
710240464425622
oct1367763127062
9322250861760
10102002110002
113a293593a71
1217928372a16
139807545310
144d18d08882
1529bedb761c
hex17bfccae32

102002110002 has 64 divisors (see below), whose sum is σ = 252525168000. Its totient is φ = 30303008064.

The previous prime is 102002109977. The next prime is 102002110009. The reversal of 102002110002 is 200011200201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102002110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2484852 + ... + 2525567.

It is an arithmetic number, because the mean of its divisors is an integer number (3945705750).

Almost surely, 2102002110002 is an apocalyptic number.

102002110002 is an abundant number, since it is smaller than the sum of its proper divisors (150523057998).

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

102002110002 is a wasteful number, since it uses less digits than its factorization.

102002110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010472 (or 5010466 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102002110002 its reverse (200011200201), we get a palindrome (302013310203).

The spelling of 102002110002 in words is "one hundred two billion, two million, one hundred ten thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 174 234 261 351 377 522 702 754 783 1131 1566 2262 3393 6786 10179 20358 5010419 10020838 15031257 30062514 45093771 65135447 90187542 130270894 135281313 145302151 195406341 270562626 290604302 390812682 435906453 586219023 871812906 1172438046 1307719359 1758657069 1888927963 2615438718 3517314138 3777855926 3923158077 5666783889 7846316154 11333567778 17000351667 34000703334 51001055001 102002110002