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21020112110020 = 22541213711995453
BaseRepresentation
bin1001100011110001000000…
…10100001100000111000100
32202102111120202100222102111
410301320200110030013010
510223343142200010040
6112412301200550404
74266436654625122
oct461704024140704
982374522328374
1021020112110020
116774641324961
122435a09022404
13b9625a24aa9a
14529543810912
15266bac110dea
hex131e2050c1c4

21020112110020 has 48 divisors (see below), whose sum is σ = 45240039070128. Its totient is φ = 8199131351040.

The previous prime is 21020112109987. The next prime is 21020112110027. The reversal of 21020112110020 is 2001121102012.

It can be written as a sum of positive squares in 8 ways, for example, as 10953147678916 + 10066964431104 = 3309554^2 + 3172848^2 .

It is a super-2 number, since 2×210201121100202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21020112110027) 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, 4245387 + ... + 7750066.

It is an arithmetic number, because the mean of its divisors is an integer number (942500813961).

Almost surely, 221020112110020 is an apocalyptic number.

21020112110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020112110020 is an abundant number, since it is smaller than the sum of its proper divisors (24219926960108).

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

21020112110020 is a wasteful number, since it uses less digits than its factorization.

21020112110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11997640 (or 11997638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21020112110020 its reverse (2001121102012), we get a palindrome (23021233212032).

The spelling of 21020112110020 in words is "twenty-one trillion, twenty billion, one hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2137 4274 8548 10685 21370 42740 87617 175234 350468 438085 876170 1752340 11995453 23990906 47981812 59977265 119954530 239909060 491813573 983627146 1967254292 2459067865 4918135730 9836271460 25634283061 51268566122 102537132244 128171415305 256342830610 512685661220 1051005605501 2102011211002 4204022422004 5255028027505 10510056055010 21020112110020