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10020110120 = 235269931237
BaseRepresentation
bin10010101010011111…
…01011111100101000
3221212022121100000122
421111033223330220
5131010122010440
64334141422412
7503210350016
oct112517537450
927768540018
1010020110120
114282100049
121b3786aa08
13c38c0ba57
146b0ab98b6
153d9a317b5
hex2553ebf28

10020110120 has 32 divisors (see below), whose sum is σ = 22629083400. Its totient is φ = 3993139968.

The previous prime is 10020110099. The next prime is 10020110141. The reversal of 10020110120 is 2101102001.

It is an interprime number because it is at equal distance from previous prime (10020110099) and next prime (10020110141).

It can be written as a sum of positive squares in 4 ways, for example, as 2808364036 + 7211746084 = 52994^2 + 84922^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10020110098 and 10020110107.

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 7 ways as a sum of consecutive naturals, for example, 454859 + ... + 476378.

Almost surely, 210020110120 is an apocalyptic number.

10020110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020110120 is an abundant number, since it is smaller than the sum of its proper divisors (12608973280).

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

10020110120 is a wasteful number, since it uses less digits than its factorization.

10020110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931517 (or 931513 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10020110120 its reverse (2101102001), we get a palindrome (12121212121).

The spelling of 10020110120 in words is "ten billion, twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 269 538 1076 1345 2152 2690 5380 10760 931237 1862474 3724948 4656185 7449896 9312370 18624740 37249480 250502753 501005506 1002011012 1252513765 2004022024 2505027530 5010055060 10020110120