Search a number
-
+
21131311200020 = 2257230817699697
BaseRepresentation
bin1001100111000000001000…
…10011000011011100010100
32202211010121102002001001022
410303200010103003130110
510232203411131400040
6112535331303220312
74310454406403600
oct463400423033424
982733542061038
1021131311200020
11680781430a03a
122453481447698
13ba389bcb0ba8
14530a91d68500
15269a196146b5
hex1338044c3714

21131311200020 has 72 divisors (see below), whose sum is σ = 51622523355816. Its totient is φ = 7244775530496.

The previous prime is 21131311200019. The next prime is 21131311200049. The reversal of 21131311200020 is 2000211313112.

It can be written as a sum of positive squares in 4 ways, for example, as 1260239740816 + 19871071459204 = 1122604^2 + 4457698^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29850812 + ... + 30550508.

It is an arithmetic number, because the mean of its divisors is an integer number (716979491053).

Almost surely, 221131311200020 is an apocalyptic number.

21131311200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21131311200020 is an abundant number, since it is smaller than the sum of its proper divisors (30491212155796).

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

21131311200020 is a wasteful number, since it uses less digits than its factorization.

21131311200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730537 (or 730528 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 21131311200020 its reverse (2000211313112), we get a palindrome (23131522513132).

The spelling of 21131311200020 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 30817 61634 123268 154085 215719 308170 431438 616340 699697 862876 1078595 1399394 1510033 2157190 2798788 3020066 3498485 4314380 4897879 6040132 6996970 7550165 9795758 13993940 15100330 19591516 24489395 30200660 34285153 48978790 68570306 97957580 137140612 171425765 342851530 685703060 21562562449 43125124898 86250249796 107812812245 150937937143 215625624490 301875874286 431251248980 603751748572 754689685715 1056565560001 1509379371430 2113131120002 3018758742860 4226262240004 5282827800005 10565655600010 21131311200020