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221023312031376 = 243211313583045233
BaseRepresentation
bin110010010000010100000000…
…000000000010111010010000
31001222120121210122012212212200
4302100110000000002322100
5212432221220340001001
62102024412515523200
764361256500154501
oct6220240000027220
91058517718185780
10221023312031376
1164474507637508
122095796bbb9500
13964354144b74a
143c8182a3dcba8
151a844cc085086
hexc90500002e90

221023312031376 has 60 divisors (see below), whose sum is σ = 624032264140428. Its totient is φ = 73022451167232.

The previous prime is 221023312031287. The next prime is 221023312031377. The reversal of 221023312031376 is 673130213320122.

221023312031376 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 2 + 331 + 2 + 0 + 313 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5867924864400 + 215155387166976 = 2422380^2 + 14668176^2 .

It is a super-2 number, since 2×2210233120313762 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221023312031376.

It is not an unprimeable number, because it can be changed into a prime (221023312031377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6791506345 + ... + 6791538888.

Almost surely, 2221023312031376 is an apocalyptic number.

It is an amenable number.

221023312031376 is an abundant number, since it is smaller than the sum of its proper divisors (403008952109052).

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

221023312031376 is a wasteful number, since it uses less digits than its factorization.

221023312031376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583045360 (or 13583045351 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 221023312031376 its reverse (673130213320122), we get a palindrome (894153525351498).

The spelling of 221023312031376 in words is "two hundred twenty-one trillion, twenty-three billion, three hundred twelve million, thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 13583045233 27166090466 40749135699 54332180932 81498271398 108664361864 122247407097 162996542796 217328723728 244494814194 325993085592 488989628388 651986171184 977979256776 1534884111329 1955958513552 3069768222658 4604652333987 6139536445316 9209304667974 12279072890632 13813957001961 18418609335948 24558145781264 27627914003922 36837218671896 55255828007844 73674437343792 110511656015688 221023312031376