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10013313123 = 3311171983227
BaseRepresentation
bin10010101001101011…
…10000100001100011
3221211211211000022000
421110311300201203
5131001402004443
64333340015043
7503065520502
oct112465604143
927754730260
1010013313123
1142792883a0
121b35531483
13c3769c068
146adc2a839
153d913c8d3
hex254d70863

10013313123 has 32 divisors (see below), whose sum is σ = 17135089920. Its totient is φ = 5711690880.

The previous prime is 10013313113. The next prime is 10013313127. The reversal of 10013313123 is 32131331001.

It is a happy number.

10013313123 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013313123 - 25 = 10013313091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013313096 and 10013313105.

It is not an unprimeable number, because it can be changed into a prime (10013313127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986565 + ... + 996662.

It is an arithmetic number, because the mean of its divisors is an integer number (535471560).

Almost surely, 210013313123 is an apocalyptic number.

10013313123 is a deficient number, since it is larger than the sum of its proper divisors (7121776797).

10013313123 is a wasteful number, since it uses less digits than its factorization.

10013313123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983264 (or 1983258 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10013313123 its reverse (32131331001), we get a palindrome (42144644124).

The spelling of 10013313123 in words is "ten billion, thirteen million, three hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 9 11 17 27 33 51 99 153 187 297 459 561 1683 5049 1983227 5949681 17849043 21815497 33714859 53547129 65446491 101144577 196339473 303433731 370863449 589018419 910301193 1112590347 3337771041 10013313123