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10111022031 = 31131711071301
BaseRepresentation
bin10010110101010100…
…11111001111001111
3222002122200010201110
421122222133033033
5131201410201111
64351150143103
7505363161225
oct113252371717
928078603643
1010111022031
114319454560
121b621b1a93
13c519bca96
146bcbc2b15
153e29dd5a6
hex25aa9f3cf

10111022031 has 64 divisors (see below), whose sum is σ = 15551004672. Its totient is φ = 5787600000.

The previous prime is 10111022011. The next prime is 10111022039. The reversal of 10111022031 is 13022011101.

It is not a de Polignac number, because 10111022031 - 26 = 10111021967 is a prime.

It is a super-2 number, since 2×101110220312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111021998 and 10111022016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111022039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7771081 + ... + 7772381.

It is an arithmetic number, because the mean of its divisors is an integer number (242984448).

Almost surely, 210111022031 is an apocalyptic number.

10111022031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111022031 is a deficient number, since it is larger than the sum of its proper divisors (5439982641).

10111022031 is a wasteful number, since it uses less digits than its factorization.

10111022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524.

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

Adding to 10111022031 its reverse (13022011101), we get a palindrome (23133033132).

The spelling of 10111022031 in words is "ten billion, one hundred eleven million, twenty-two thousand, thirty-one".

Divisors: 1 3 11 31 33 71 93 107 213 321 341 781 1023 1177 1301 2201 2343 3317 3531 3903 6603 7597 9951 14311 22791 24211 36487 40331 42933 72633 83567 92371 109461 120993 139207 235507 250701 277113 417621 443641 706521 1016081 1330923 1531277 2590577 2863501 3048243 4315417 4593831 7771731 8590503 9883697 12946251 29651091 31498511 47469587 94495533 108720667 142408761 306394607 326162001 919183821 3370340677 10111022031