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21001010120 = 2351753299501
BaseRepresentation
bin10011100011110000…
…011111101111001000
32000012121002211222122
4103203300133233020
5321002224310440
613351524310412
71342265432516
oct234360375710
960177084878
1021001010120
1189a7582812
1240a1242408
131c98ba980c
1410332174b6
1582da9b7b5
hex4e3c1fbc8

21001010120 has 32 divisors (see below), whose sum is σ = 47279385720. Its totient is φ = 8395584000.

The previous prime is 21001010089. The next prime is 21001010159. The reversal of 21001010120 is 2101010012.

It can be written as a sum of positive squares in 4 ways, for example, as 6490880356 + 14510129764 = 80566^2 + 120458^2 .

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 = 21001010098 and 21001010107.

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, 79631 + ... + 219870.

Almost surely, 221001010120 is an apocalyptic number.

21001010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001010120 is an abundant number, since it is smaller than the sum of its proper divisors (26278375600).

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

21001010120 is a wasteful number, since it uses less digits than its factorization.

21001010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301265 (or 301261 counting only the distinct ones).

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

Adding to 21001010120 its reverse (2101010012), we get a palindrome (23102020132).

The spelling of 21001010120 in words is "twenty-one billion, one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1753 3506 7012 8765 14024 17530 35060 70120 299501 599002 1198004 1497505 2396008 2995010 5990020 11980040 525025253 1050050506 2100101012 2625126265 4200202024 5250252530 10500505060 21001010120