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23729000107 = 2916711234363
BaseRepresentation
bin10110000110010110…
…111100111010101011
32021020201022002201211
4112012112330322223
5342044111000412
614522334453551
71500012113221
oct260626747253
967221262654
1023729000107
11a077446a9a
1247229642b7
132312113387
141211654b11
1593d30eca7
hex5865bceab

23729000107 has 16 divisors (see below), whose sum is σ = 24721885440. Its totient is φ = 22748074272.

The previous prime is 23729000101. The next prime is 23729000123. The reversal of 23729000107 is 70100092732.

It is a cyclic number.

It is not a de Polignac number, because 23729000107 - 219 = 23728475819 is a prime.

It is a super-2 number, since 2×237290001072 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23729000101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5436508 + ... + 5440870.

It is an arithmetic number, because the mean of its divisors is an integer number (1545117840).

Almost surely, 223729000107 is an apocalyptic number.

23729000107 is a deficient number, since it is larger than the sum of its proper divisors (992885333).

23729000107 is a wasteful number, since it uses less digits than its factorization.

With its successor (23729000108) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (5682).

23729000107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682.

The product of its (nonzero) digits is 5292, while the sum is 31.

Adding to 23729000107 its reverse (70100092732), we get a palindrome (93829092839).

The spelling of 23729000107 in words is "twenty-three billion, seven hundred twenty-nine million, one hundred seven", and thus it is an aban number.

Divisors: 1 29 167 1123 4363 4843 32567 126527 187541 728621 4899649 5438689 21130009 142089821 818241383 23729000107