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10114135023 = 3172234911033
BaseRepresentation
bin10010110101101100…
…10111001111101111
3222002212112021221110
421122312113033233
5131203204310043
64351341003103
7505431505056
oct113266271757
928085467843
1010114135023
114320190383
121b63253493
13c5253c9a5
146bd39339d
153e2e05b33
hex25ad973ef

10114135023 has 48 divisors (see below), whose sum is σ = 14993231616. Its totient is φ = 6051978240.

The previous prime is 10114134973. The next prime is 10114135103. The reversal of 10114135023 is 32053141101.

It is not a de Polignac number, because 10114135023 - 213 = 10114126831 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114133023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9790515 + ... + 9791547.

It is an arithmetic number, because the mean of its divisors is an integer number (312358992).

Almost surely, 210114135023 is an apocalyptic number.

10114135023 is a deficient number, since it is larger than the sum of its proper divisors (4879096593).

10114135023 is a wasteful number, since it uses less digits than its factorization.

10114135023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 10114135023 its reverse (32053141101), we get a palindrome (42167276124).

The spelling of 10114135023 in words is "ten billion, one hundred fourteen million, one hundred thirty-five thousand, twenty-three".

Divisors: 1 3 17 23 51 69 289 391 491 867 1033 1173 1473 3099 6647 8347 11293 17561 19941 23759 25041 33879 52683 71277 141899 191981 298537 403903 425697 507203 575943 895611 1211709 1521609 3263677 6866351 8622451 9791031 11665669 20599053 25867353 34997007 146581667 198316373 439745001 594949119 3371378341 10114135023