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221231311200020 = 225114483224313377
BaseRepresentation
bin110010010011010101101101…
…101101111001111100010100
31002000022111200110100102212102
4302103111231231321330110
5212444123211131400040
62102304132235541232
764412302062010052
oct6223255555717424
91060274613312772
10221231311200020
1164544743758490
122099013a5ba818
13965a03ba7c4b4
143c8b91ca0d1d2
151a89b028dd515
hexc9356db79f14

221231311200020 has 48 divisors (see below), whose sum is σ = 506933878223808. Its totient is φ = 80429804098560.

The previous prime is 221231311200013. The next prime is 221231311200047. The reversal of 221231311200020 is 20002113132122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221231311199965 and 221231311200001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111170429 + ... + 113142948.

It is an arithmetic number, because the mean of its divisors is an integer number (10561122462996).

Almost surely, 2221231311200020 is an apocalyptic number.

221231311200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221231311200020 is an abundant number, since it is smaller than the sum of its proper divisors (285702567023788).

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

221231311200020 is a wasteful number, since it uses less digits than its factorization.

221231311200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224317880 (or 224317878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221231311200020 its reverse (20002113132122), we get a palindrome (241233424332142).

The spelling of 221231311200020 in words is "two hundred twenty-one trillion, two hundred thirty-one billion, three hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 4483 8966 17932 22415 44830 49313 89660 98626 197252 246565 493130 986260 224313377 448626754 897253508 1121566885 2243133770 2467447147 4486267540 4934894294 9869788588 12337235735 24674471470 49348942940 1005596869091 2011193738182 4022387476364 5027984345455 10055968690910 11061565560001 20111937381820 22123131120002 44246262240004 55307827800005 110615655600010 221231311200020