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10202002107 = 3112172371879
BaseRepresentation
bin10011000000001011…
…00011001010111011
3222022222212101220220
421200011203022323
5131343203031412
64404200151123
7510546405243
oct114005431273
928288771826
1010202002107
114365845200
121b887684a3
13c677c5b4b
146cad06b23
153ea9b068c
hex2601632bb

10202002107 has 48 divisors (see below), whose sum is σ = 16519749120. Its totient is φ = 5566232320.

The previous prime is 10202002099. The next prime is 10202002117. The reversal of 10202002107 is 70120020201.

It is not a de Polignac number, because 10202002107 - 23 = 10202002099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10202002117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105994 + ... + 177872.

It is an arithmetic number, because the mean of its divisors is an integer number (344161440).

Almost surely, 210202002107 is an apocalyptic number.

10202002107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10202002107 is a deficient number, since it is larger than the sum of its proper divisors (6317747013).

10202002107 is a wasteful number, since it uses less digits than its factorization.

10202002107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71944 (or 71933 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 10202002107 its reverse (70120020201), we get a palindrome (80322022308).

The spelling of 10202002107 in words is "ten billion, two hundred two million, two thousand, one hundred seven".

Divisors: 1 3 11 17 23 33 51 69 121 187 253 363 391 561 759 1173 2057 2783 4301 6171 8349 12903 47311 71879 141933 215637 790669 1221943 1653217 2372007 3665829 4959651 8697359 13441373 18185387 26092077 28104689 40324119 54556161 84314067 147855103 200039257 309151579 443565309 600117771 927454737 3400667369 10202002107