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10223112031 = 1110113616761
BaseRepresentation
bin10011000010101100…
…00100111101011111
3222101110120220021221
421201112010331133
5131414104041111
64410232434211
7511224006226
oct114126047537
928343526257
1010223112031
114376753420
121b93848967
13c6bca7522
146cda3dcbd
153ec780371
hex261584f5f

10223112031 has 16 divisors (see below), whose sum is σ = 11272849056. Its totient is φ = 9193600000.

The previous prime is 10223112007. The next prime is 10223112049. The reversal of 10223112031 is 13021132201.

It is a cyclic number.

It is not a de Polignac number, because 10223112031 - 219 = 10222587743 is a prime.

It is a super-2 number, since 2×102231120312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10223111996 and 10223112014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223116031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508691 + ... + 1515451.

It is an arithmetic number, because the mean of its divisors is an integer number (704553066).

Almost surely, 210223112031 is an apocalyptic number.

10223112031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10223112031 is a deficient number, since it is larger than the sum of its proper divisors (1049737025).

10223112031 is a wasteful number, since it uses less digits than its factorization.

10223112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8234.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10223112031 its reverse (13021132201), we get a palindrome (23244244232).

The spelling of 10223112031 in words is "ten billion, two hundred twenty-three million, one hundred twelve thousand, thirty-one".

Divisors: 1 11 101 1111 1361 6761 14971 74371 137461 682861 1512071 7511471 9201721 101218931 929373821 10223112031