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10022030031 = 3138914591979
BaseRepresentation
bin10010101010101110…
…00000101011001111
3221212110012212122110
421111113000223033
5131011114430111
64334250515103
7503232564306
oct112527005317
927773185573
1010022030031
1142831a1552
121b38435a93
13c394318b0
146b105943d
153d9cb05a6
hex2555c0acf

10022030031 has 32 divisors (see below), whose sum is σ = 14569632000. Its totient is φ = 6090847488.

The previous prime is 10022030027. The next prime is 10022030041. The reversal of 10022030031 is 13003022001.

It is a happy number.

10022030031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022030031 - 22 = 10022030027 is a prime.

It is a super-2 number, since 2×100220300312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022029989 and 10022030016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022030041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5063200 + ... + 5065178.

It is an arithmetic number, because the mean of its divisors is an integer number (455301000).

Almost surely, 210022030031 is an apocalyptic number.

10022030031 is a deficient number, since it is larger than the sum of its proper divisors (4547601969).

10022030031 is a wasteful number, since it uses less digits than its factorization.

10022030031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10022030031 its reverse (13003022001), we get a palindrome (23025052032).

The spelling of 10022030031 in words is "ten billion, twenty-two million, thirty thousand, thirty-one".

Divisors: 1 3 13 39 89 267 1157 1459 1979 3471 4377 5937 18967 25727 56901 77181 129851 176131 389553 528393 1688063 2289703 2887361 5064189 6869109 8662083 37535693 112607079 256975129 770925387 3340676677 10022030031