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10012220031 = 3111983192391
BaseRepresentation
bin10010101001100011…
…00101101001111111
3221211202202110212010
421110301211221333
5131001112020111
64333300342303
7503053315602
oct112461455177
927752673763
1010012220031
114278701110
121b350a4993
13c373a8668
146ada24339
153d8ec3aa6
hex254c65a7f

10012220031 has 32 divisors (see below), whose sum is σ = 15514490880. Its totient is φ = 5679352800.

The previous prime is 10012219969. The next prime is 10012220039. The reversal of 10012220031 is 13002221001.

It is not a de Polignac number, because 10012220031 - 214 = 10012203647 is a prime.

It is a super-2 number, since 2×100122200312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012219989 and 10012220016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012220039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44155 + ... + 148236.

It is an arithmetic number, because the mean of its divisors is an integer number (484827840).

Almost surely, 210012220031 is an apocalyptic number.

10012220031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10012220031 is a deficient number, since it is larger than the sum of its proper divisors (5502270849).

10012220031 is a wasteful number, since it uses less digits than its factorization.

10012220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192507.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10012220031 its reverse (13002221001), we get a palindrome (23014441032).

The spelling of 10012220031 in words is "ten billion, twelve million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 11 19 33 57 83 209 249 627 913 1577 2739 4731 17347 52041 192391 577173 2116301 3655429 6348903 10966287 15968453 40209719 47905359 120629157 175652983 303400607 526958949 910201821 3337406677 10012220031