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221020112010120 = 233512344914919799
BaseRepresentation
bin110010010000010001000001…
…010000111011101110001000
31001222120022112121210221221220
4302100101001100323232020
5212432143142133310440
62102023123204202040
764361114262345453
oct6220210120735610
91058508477727856
10221020112010120
116447311527a145
1220957218399320
1396431514a3347
143c8160540a49a
151a843911808d0
hexc9044143bb88

221020112010120 has 64 divisors (see below), whose sum is σ = 663065751600000. Its totient is φ = 58938215152128.

The previous prime is 221020112010067. The next prime is 221020112010121. The reversal of 221020112010120 is 21010211020122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221020112010120.

It is not an unprimeable number, because it can be changed into a prime (221020112010121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7353981 + ... + 22273779.

It is an arithmetic number, because the mean of its divisors is an integer number (10360402368750).

Almost surely, 2221020112010120 is an apocalyptic number.

221020112010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020112010120 is an abundant number, since it is smaller than the sum of its proper divisors (442045639589880).

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

221020112010120 is a wasteful number, since it uses less digits than its factorization.

221020112010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15043262 (or 15043258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221020112010120 its reverse (21010211020122), we get a palindrome (242030323030242).

The spelling of 221020112010120 in words is "two hundred twenty-one trillion, twenty billion, one hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 123449 246898 370347 493796 617245 740694 987592 1234490 1481388 1851735 2468980 2962776 3703470 4937960 7406940 14813880 14919799 29839598 44759397 59679196 74598995 89518794 119358392 149197990 179037588 223796985 298395980 358075176 447593970 596791960 895187940 1790375880 1841834266751 3683668533502 5525502800253 7367337067004 9209171333755 11051005600506 14734674134008 18418342667510 22102011201012 27627514001265 36836685335020 44204022402024 55255028002530 73673370670040 110510056005060 221020112010120