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21012322210020 = 22325425327447713
BaseRepresentation
bin1001100011100010100000…
…00000000101000011100100
32202101202110212022001112200
410301301100000011003210
510223231213441210040
6112404532204214500
74266042634566321
oct461612000050344
982352425261480
1021012322210020
116771304108779
1224343b423a430
13b955b83ba1bb
14529004dd7b48
152668a32b7630
hex131c500050e4

21012322210020 has 72 divisors (see below), whose sum is σ = 63752366144376. Its totient is φ = 5601968228352.

The previous prime is 21012322210007. The next prime is 21012322210057. The reversal of 21012322210020 is 2001222321012.

21012322210020 is a `hidden beast` number, since 210 + 1 + 232 + 221 + 0 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1591942405284 + 19420379804736 = 1261722^2 + 4406856^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21012322209975 and 21012322210002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12958317 + ... + 14489396.

It is an arithmetic number, because the mean of its divisors is an integer number (885449529783).

Almost surely, 221012322210020 is an apocalyptic number.

21012322210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012322210020 is an abundant number, since it is smaller than the sum of its proper divisors (42740043934356).

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

21012322210020 is a wasteful number, since it uses less digits than its factorization.

21012322210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27451981 (or 27451976 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21012322210020 its reverse (2001222321012), we get a palindrome (23013544531032).

The spelling of 21012322210020 in words is "twenty-one trillion, twelve billion, three hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4253 8506 12759 17012 21265 25518 38277 42530 51036 63795 76554 85060 127590 153108 191385 255180 382770 765540 27447713 54895426 82343139 109790852 137238565 164686278 247029417 274477130 329372556 411715695 494058834 548954260 823431390 988117668 1235147085 1646862780 2470294170 4940588340 116735123389 233470246778 350205370167 466940493556 583675616945 700410740334 1050616110501 1167351233890 1400821480668 1751026850835 2101232221002 2334702467780 3502053701670 4202464442004 5253080552505 7004107403340 10506161105010 21012322210020