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10202002120 = 2351941327407
BaseRepresentation
bin10011000000001011…
…00011001011001000
3222022222212101221101
421200011203023020
5131343203031440
64404200151144
7510546405262
oct114005431310
928288771841
1010202002120
114365845212
121b887684b4
13c677c5b5b
146cad06b32
153ea9b069a
hex2601632c8

10202002120 has 64 divisors (see below), whose sum is σ = 24752044800. Its totient is φ = 3771717120.

The previous prime is 10202002117. The next prime is 10202002121. The reversal of 10202002120 is 2120020201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10202002097 and 10202002106.

It is not an unprimeable number, because it can be changed into a prime (10202002121) 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, 132544 + ... + 194863.

It is an arithmetic number, because the mean of its divisors is an integer number (386750700).

Almost surely, 210202002120 is an apocalyptic number.

10202002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202002120 is an abundant number, since it is smaller than the sum of its proper divisors (14550042680).

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

10202002120 is a wasteful number, since it uses less digits than its factorization.

10202002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327478 (or 327474 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10202002120 its reverse (2120020201), we get a palindrome (12322022321).

The spelling of 10202002120 in words is "ten billion, two hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 760 779 820 1558 1640 3116 3895 6232 7790 15580 31160 327407 654814 1309628 1637035 2619256 3274070 6220733 6548140 12441466 13096280 13423687 24882932 26847374 31103665 49765864 53694748 62207330 67118435 107389496 124414660 134236870 248829320 255050053 268473740 510100106 536947480 1020200212 1275250265 2040400424 2550500530 5101001060 10202002120