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21000110100020 = 2259536857160681
BaseRepresentation
bin1001100011001011110000…
…00110100100111000110100
32202100120221210001120222022
410301211320012210320310
510223031211141200040
6112355152320252312
74265131206430142
oct461457006447064
982316853046868
1021000110100020
116767107752787
122431b66471098
13b943c031b2cc
145285a7164592
152663db0e96b5
hex1319781a4e34

21000110100020 has 48 divisors (see below), whose sum is σ = 44153219326608. Its totient is φ = 8389953761280.

The previous prime is 21000110099993. The next prime is 21000110100031. The reversal of 21000110100020 is 2000101100012.

It can be written as a sum of positive squares in 8 ways, for example, as 2622547047184 + 18377563052836 = 1619428^2 + 4286906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21000110099980 and 21000110100007.

It is a congruent number.

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, 130614080 + ... + 130774760.

It is an arithmetic number, because the mean of its divisors is an integer number (919858735971).

Almost surely, 221000110100020 is an apocalyptic number.

21000110100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000110100020 is an abundant number, since it is smaller than the sum of its proper divisors (23153109226588).

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

21000110100020 is a wasteful number, since it uses less digits than its factorization.

21000110100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168500 (or 168498 counting only the distinct ones).

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

Adding to 21000110100020 its reverse (2000101100012), we get a palindrome (23000211200032).

The spelling of 21000110100020 in words is "twenty-one trillion, one hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 953 1906 3812 4765 6857 9530 13714 19060 27428 34285 68570 137140 160681 321362 642724 803405 1606810 3213620 6534721 13069442 26138884 32673605 65347210 130694420 153128993 306257986 612515972 765644965 1101789617 1531289930 2203579234 3062579860 4407158468 5508948085 11017896170 22035792340 1050005505001 2100011010002 4200022020004 5250027525005 10500055050010 21000110100020