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21313021121100 = 223252101234466679
BaseRepresentation
bin1001101100010010100110…
…00011011001001001001100
32210110111122002100110001100
410312021103003121021030
510243143031401333400
6113155022225343100
74326546350266422
oct466112303311114
983414562313040
1021313021121100
11687788a880235
122482733797a90
13bb7a69c66657
145397accad112
1526e601ed1100
hex1362530d924c

21313021121100 has 108 divisors (see below), whose sum is σ = 67465911436560. Its totient is φ = 5627200272000.

The previous prime is 21313021120981. The next prime is 21313021121143. The reversal of 21313021121100 is 112112031312.

21313021121100 is a `hidden beast` number, since 21 + 313 + 0 + 211 + 21 + 100 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117142440 + ... + 117324239.

Almost surely, 221313021121100 is an apocalyptic number.

21313021121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21313021121100 is an abundant number, since it is smaller than the sum of its proper divisors (46152890315460).

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

21313021121100 is a wasteful number, since it uses less digits than its factorization.

21313021121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234466800 (or 234466790 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21313021121100 its reverse (112112031312), we get a palindrome (21425133152412).

The spelling of 21313021121100 in words is "twenty-one trillion, three hundred thirteen billion, twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 101 150 180 202 225 300 303 404 450 505 606 900 909 1010 1212 1515 1818 2020 2525 3030 3636 4545 5050 6060 7575 9090 10100 15150 18180 22725 30300 45450 90900 234466679 468933358 703400037 937866716 1172333395 1406800074 2110200111 2344666790 2813600148 3517000185 4220400222 4689333580 5861666975 7034000370 8440800444 10551000555 11723333950 14068000740 17585000925 21102001110 23446667900 23681134579 35170001850 42204002220 47362269158 52755002775 70340003700 71043403737 94724538316 105510005550 118405672895 142086807474 211020011100 213130211211 236811345790 284173614948 355217018685 426260422422 473622691580 592028364475 710434037370 852520844844 1065651056055 1184056728950 1420868074740 1776085093425 2131302112110 2368113457900 3552170186850 4262604224220 5328255280275 7104340373700 10656510560550 21313021121100