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220031312031 = 3410949248099
BaseRepresentation
bin1100110011101011100…
…0110110000010011111
3210000221100201202210000
43030322320312002133
512101111003441111
6245025254345343
721616403202426
oct3147270660237
9700840652700
10220031312031
1185350a37433
123678805b253
131799733b02b
14a9145d82bd
155acbd27c56
hex333ae3609f

220031312031 has 20 divisors (see below), whose sum is σ = 328720095000. Its totient is φ = 146673552816.

The previous prime is 220031311991. The next prime is 220031312041. The reversal of 220031312031 is 130213130022.

220031312031 is a `hidden beast` number, since 2 + 200 + 313 + 120 + 31 = 666.

It is not a de Polignac number, because 220031312031 - 223 = 220022923423 is a prime.

It is a super-2 number, since 2×2200313120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220031311995 and 220031312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220031312041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 762820 + ... + 1010918.

It is an arithmetic number, because the mean of its divisors is an integer number (16436004750).

Almost surely, 2220031312031 is an apocalyptic number.

220031312031 is a deficient number, since it is larger than the sum of its proper divisors (108688782969).

220031312031 is a wasteful number, since it uses less digits than its factorization.

220031312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259060 (or 259051 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220031312031 its reverse (130213130022), we get a palindrome (350244442053).

The spelling of 220031312031 in words is "two hundred twenty billion, thirty-one million, three hundred twelve thousand, thirty-one".

Divisors: 1 3 9 27 81 10949 32847 98541 248099 295623 744297 886869 2232891 6698673 20096019 2716435951 8149307853 24447923559 73343770677 220031312031