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20315310221200 = 2452395691283537
BaseRepresentation
bin1001001111010000001101…
…10110010110011110010000
32122221010100220021100120111
410213220012312112132100
510130321223404034300
6111112420310251104
74164506216463541
oct447500666263620
978833326240514
1020315310221200
116522747001105
1223412b0356a94
13b44957cc7917
145033a28984c8
152536ab6d69ba
hex127a06d96790

20315310221200 has 60 divisors (see below), whose sum is σ = 48808804312260. Its totient is φ = 8125912391680.

The previous prime is 20315310221179. The next prime is 20315310221347. The reversal of 20315310221200 is 212201351302.

It can be written as a sum of positive squares in 6 ways, for example, as 550421545216 + 19764888675984 = 741904^2 + 4445772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15185832 + ... + 16469368.

It is an arithmetic number, because the mean of its divisors is an integer number (813480071871).

Almost surely, 220315310221200 is an apocalyptic number.

20315310221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20315310221200 is an abundant number, since it is smaller than the sum of its proper divisors (28493494091060).

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

20315310221200 is a wasteful number, since it uses less digits than its factorization.

20315310221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323124 (or 1323113 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 20315310221200 its reverse (212201351302), we get a palindrome (20527511572502).

The spelling of 20315310221200 in words is "twenty trillion, three hundred fifteen billion, three hundred ten million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 39569 79138 158276 197845 316552 395690 633104 791380 989225 1283537 1582760 1978450 2567074 3165520 3956900 5134148 6417685 7913800 10268296 12835370 15827600 20536592 25670740 32088425 51341480 64176850 102682960 128353700 256707400 513414800 50788275553 101576551106 203153102212 253941377765 406306204424 507882755530 812612408848 1015765511060 1269706888825 2031531022120 2539413777650 4063062044240 5078827555300 10157655110600 20315310221200