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222022100031012 = 2232172943771737699
BaseRepresentation
bin110010011110110110001100…
…011001111001011000100100
31002010010002211220001022102100
4302132312030121321120210
5213100102230101443022
62104111313353012100
764523365420115001
oct6236661431713044
91063102756038370
10222022100031012
116481a0533aa606
1220a994540b4030
1396b67955b08b8
143cb7cd98b08a8
151aa04871e01ac
hexc9ed8c679624

222022100031012 has 288 divisors, whose sum is σ = 629120668176000. Its totient is φ = 65677872992256.

The previous prime is 222022100031001. The next prime is 222022100031031. The reversal of 222022100031012 is 210130001220222.

222022100031012 is a `hidden beast` number, since 2 + 220 + 22 + 100 + 0 + 310 + 12 = 666.

222022100031012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5889317739 + ... + 5889355437.

It is an arithmetic number, because the mean of its divisors is an integer number (2184446764500).

Almost surely, 2222022100031012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222022100031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314560334088000).

222022100031012 is an abundant number, since it is smaller than the sum of its proper divisors (407098568144988).

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

222022100031012 is a wasteful number, since it uses less digits than its factorization.

222022100031012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45515 (or 45510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222022100031012 its reverse (210130001220222), we get a palindrome (432152101251234).

The spelling of 222022100031012 in words is "two hundred twenty-two trillion, twenty-two billion, one hundred million, thirty-one thousand, twelve".