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10023033123 = 337912973623
BaseRepresentation
bin10010101010110101…
…10101100100100011
3221212112002211122000
421111122311210203
5131011344024443
64334324215043
7503244242625
oct112532654443
927775084560
1010023033123
114283817154
121b3883a483
13c396c333c
146b123ac15
153d9e0c8d3
hex2556b5923

10023033123 has 32 divisors (see below), whose sum is σ = 15052646400. Its totient is φ = 6590533248.

The previous prime is 10023033113. The next prime is 10023033133. The reversal of 10023033123 is 32133032001.

10023033123 is a `hidden beast` number, since 100 + 230 + 331 + 2 + 3 = 666.

10023033123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10023033113) and next prime (10023033133).

It is not a de Polignac number, because 10023033123 - 25 = 10023033091 is a prime.

It is a super-2 number, since 2×100230331232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023033096 and 10023033105.

It is not an unprimeable number, because it can be changed into a prime (10023033113) 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, 2764690 + ... + 2768312.

It is an arithmetic number, because the mean of its divisors is an integer number (470395200).

Almost surely, 210023033123 is an apocalyptic number.

10023033123 is a deficient number, since it is larger than the sum of its proper divisors (5029613277).

10023033123 is a wasteful number, since it uses less digits than its factorization.

10023033123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5002 counting only the distinct ones).

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

Adding to 10023033123 its reverse (32133032001), we get a palindrome (42156065124).

The spelling of 10023033123 in words is "ten billion, twenty-three million, thirty-three thousand, one hundred twenty-three".

Divisors: 1 3 9 27 79 237 711 1297 2133 3623 3891 10869 11673 32607 35019 97821 102463 286217 307389 858651 922167 2575953 2766501 4699031 7727859 14097093 42291279 126873837 371223449 1113670347 3341011041 10023033123