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21021122130100 = 22522395209168851
BaseRepresentation
bin1001100011110010111001…
…00001000111000010110100
32202102121012010220022111121
410301321130201013002310
510223402224231130400
6112412545321113324
74266504000641101
oct461713441070264
982377163808447
1021021122130100
11677500a4719a4
12243604b328844
13b9638b5859c1
145295dba09aa8
15266c1ab2121a
hex131e5c8470b4

21021122130100 has 72 divisors (see below), whose sum is σ = 45815761353600. Its totient is φ = 8371610016000.

The previous prime is 21021122130091. The next prime is 21021122130131. The reversal of 21021122130100 is 103122112012.

It is a super-2 number, since 2×210211221301002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 124410675 + ... + 124579525.

It is an arithmetic number, because the mean of its divisors is an integer number (636330018800).

Almost surely, 221021122130100 is an apocalyptic number.

21021122130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021122130100 is an abundant number, since it is smaller than the sum of its proper divisors (24794639223500).

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

21021122130100 is a wasteful number, since it uses less digits than its factorization.

21021122130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174313 (or 174306 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21021122130100 its reverse (103122112012), we get a palindrome (21124244242112).

The spelling of 21021122130100 in words is "twenty-one trillion, twenty-one billion, one hundred twenty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 239 478 956 1195 2390 4780 5209 5975 10418 11950 20836 23900 26045 52090 104180 130225 168851 260450 337702 520900 675404 844255 1244951 1688510 2489902 3377020 4221275 4979804 6224755 8442550 12449510 16885100 24899020 31123775 40355389 62247550 80710778 124495100 161421556 201776945 403553890 807107780 879544859 1008884725 1759089718 2017769450 3518179436 4035538900 4397724295 8795448590 17590897180 21988621475 43977242950 87954485900 210211221301 420422442602 840844885204 1051056106505 2102112213010 4204224426020 5255280532525 10510561065050 21021122130100