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23013330102 = 2327249952289
BaseRepresentation
bin10101011011101100…
…111000110010110110
32012101211122022001100
4111123230320302312
5334112403030402
614323331310530
71443202035600
oct253354706266
965354568040
1023013330102
11983a474584
12456314b446
132229a786b9
14118459c170
158ea59471c
hex55bb38cb6

23013330102 has 72 divisors (see below), whose sum is σ = 58120335000. Its totient is φ = 6561934848.

The previous prime is 23013330101. The next prime is 23013330107. The reversal of 23013330102 is 20103331032.

23013330102 is a `hidden beast` number, since 230 + 1 + 3 + 330 + 102 = 666.

It is a super-2 number, since 2×230133301022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013330101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 413974 + ... + 466262.

It is an arithmetic number, because the mean of its divisors is an integer number (807226875).

Almost surely, 223013330102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23013330102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060167500).

23013330102 is an abundant number, since it is smaller than the sum of its proper divisors (35107004898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23013330102 is a wasteful number, since it uses less digits than its factorization.

23013330102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52810 (or 52800 counting only the distinct ones).

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

Adding to 23013330102 its reverse (20103331032), we get a palindrome (43116661134).

The spelling of 23013330102 in words is "twenty-three billion, thirteen million, three hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 499 882 998 1497 2994 3493 4491 6986 8982 10479 20958 24451 31437 48902 52289 62874 73353 104578 146706 156867 220059 313734 366023 440118 470601 732046 941202 1098069 2196138 2562161 3294207 5124322 6588414 7686483 15372966 23059449 26092211 46118898 52184422 78276633 156553266 182645477 234829899 365290954 469659798 547936431 1095872862 1278518339 1643809293 2557036678 3287618586 3835555017 7671110034 11506665051 23013330102