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10233023031 = 337114922089
BaseRepresentation
bin10011000011110111…
…11000101000110111
3222102011020102122000
421201323320220313
5131424123214111
64411225110343
7511404155250
oct114173705067
928364212560
1010233023031
114381302730
121b970283b3
13c7106771a
146d109db27
153ed58bc56
hex261ef8a37

10233023031 has 32 divisors (see below), whose sum is σ = 18900825600. Its totient is φ = 5315855040.

The previous prime is 10233023011. The next prime is 10233023041. The reversal of 10233023031 is 13032033201.

10233023031 is a `hidden beast` number, since 102 + 330 + 230 + 3 + 1 = 666.

It is not a de Polignac number, because 10233023031 - 26 = 10233022967 is a prime.

It is a super-2 number, since 2×102330230312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10233022995 and 10233023013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233023011) 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, 2458966 + ... + 2463123.

It is an arithmetic number, because the mean of its divisors is an integer number (590650800).

Almost surely, 210233023031 is an apocalyptic number.

10233023031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10233023031 is a deficient number, since it is larger than the sum of its proper divisors (8667802569).

10233023031 is a wasteful number, since it uses less digits than its factorization.

10233023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922116 (or 4922110 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10233023031 its reverse (13032033201), we get a palindrome (23265056232).

The spelling of 10233023031 in words is "ten billion, two hundred thirty-three million, twenty-three thousand, thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 4922089 14766267 34454623 44298801 54142979 103363869 132896403 162428937 310091607 379000853 487286811 930274821 1137002559 1461860433 3411007677 10233023031