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21100130120 = 2354119736521
BaseRepresentation
bin10011101001101010…
…100110111101001000
32000110111121200001202
4103221222212331020
5321203113130440
613405425003332
71344611101226
oct235152467510
960414550052
1021100130120
118a48523073
12410a483548
131cb35a28c4
141042459b16
1583762a615
hex4e9aa6f48

21100130120 has 64 divisors (see below), whose sum is σ = 48665337840. Its totient is φ = 8228761600.

The previous prime is 21100130089. The next prime is 21100130123. The reversal of 21100130120 is 2103100112.

It can be written as a sum of positive squares in 8 ways, for example, as 5519598436 + 15580531684 = 74294^2 + 124822^2 .

It is not an unprimeable number, because it can be changed into a prime (21100130123) 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, 3232460 + ... + 3238980.

Almost surely, 221100130120 is an apocalyptic number.

21100130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24332668920).

21100130120 is an abundant number, since it is smaller than the sum of its proper divisors (27565207720).

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

21100130120 is a wasteful number, since it uses less digits than its factorization.

21100130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21100130120 its reverse (2103100112), we get a palindrome (23203230232).

The spelling of 21100130120 in words is "twenty-one billion, one hundred million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1973 3946 6521 7892 9865 13042 15784 19730 26084 32605 39460 52168 65210 78920 80893 130420 161786 260840 267361 323572 404465 534722 647144 808930 1069444 1336805 1617860 2138888 2673610 3235720 5347220 10694440 12865933 25731866 51463732 64329665 102927464 128659330 257318660 514637320 527503253 1055006506 2110013012 2637516265 4220026024 5275032530 10550065060 21100130120