Search a number
-
+
10021300120 = 2351319271731
BaseRepresentation
bin10010101010101000…
…01110011110011000
3221212101211210101201
421111110032132120
5131010423100440
64334223123544
7503223434266
oct112524163630
927771753351
1010021300120
114282843117
121b381435b4
13c392375b0
146b0d09436
153d9bb919a
hex25550e798

10021300120 has 32 divisors (see below), whose sum is σ = 24282382320. Its totient is φ = 3700172160.

The previous prime is 10021300111. The next prime is 10021300127. The reversal of 10021300120 is 2100312001.

It is a super-2 number, since 2×100213001202 (a number of 21 digits) contains 22 as substring.

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 = 10021300097 and 10021300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021300127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9635346 + ... + 9636385.

Almost surely, 210021300120 is an apocalyptic number.

10021300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021300120 is an abundant number, since it is smaller than the sum of its proper divisors (14261082200).

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

10021300120 is a wasteful number, since it uses less digits than its factorization.

10021300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19271755 (or 19271751 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10021300120 its reverse (2100312001), we get a palindrome (12121612121).

The spelling of 10021300120 in words is "ten billion, twenty-one million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 19271731 38543462 77086924 96358655 154173848 192717310 250532503 385434620 501065006 770869240 1002130012 1252662515 2004260024 2505325030 5010650060 10021300120