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2100423502120 = 235372543558083
BaseRepresentation
bin11110100100001010111…
…111110010100100101000
321102210120010101022220111
4132210022333302210220
5233403131404031440
64244530553104104
7304515311121436
oct36441277624450
97383503338814
102100423502120
1173a86a344339
1229b0ab6b8034
131230b8a23888
1473937c71d56
15399844be4ea
hex1e90aff2928

2100423502120 has 64 divisors (see below), whose sum is σ = 4855598680320. Its totient is φ = 817139199744.

The previous prime is 2100423502117. The next prime is 2100423502159. The reversal of 2100423502120 is 212053240012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2100423502091 and 2100423502100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3484599 + ... + 4042681.

It is an arithmetic number, because the mean of its divisors is an integer number (75868729380).

Almost surely, 22100423502120 is an apocalyptic number.

2100423502120 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 2100423502120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427799340160).

2100423502120 is an abundant number, since it is smaller than the sum of its proper divisors (2755175178200).

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

2100423502120 is a wasteful number, since it uses less digits than its factorization.

2100423502120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560674 (or 560670 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 2100423502120 its reverse (212053240012), we get a palindrome (2312476742132).

The spelling of 2100423502120 in words is "two trillion, one hundred billion, four hundred twenty-three million, five hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2543 5086 10172 12715 20344 25430 50860 94091 101720 188182 376364 470455 558083 752728 940910 1116166 1881820 2232332 2790415 3763640 4464664 5580830 11161660 20649071 22323320 41298142 82596284 103245355 165192568 206490710 412981420 825962840 1419205069 2838410138 5676820276 7096025345 11353640552 14192050690 28384101380 52510587553 56768202760 105021175106 210042350212 262552937765 420084700424 525105875530 1050211751060 2100423502120