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23012586601 = 29252312
BaseRepresentation
bin10101011011101010…
…000011010001101001
32012101210020112011021
4111123222003101221
5334112210232401
614323303332441
71443162521134
oct253352032151
965353215137
1023012586601
11983a006a14
124562a51121
132229878164
14118444721b
158ea4992a1
hex55ba83469

23012586601 has 9 divisors (see below), whose sum is σ = 23838044503. Its totient is φ = 22214801560.

The previous prime is 23012586521. The next prime is 23012586629. The reversal of 23012586601 is 10668521032.

The square root of 23012586601 is 151699.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12067242201 + 10945344400 = 109851^2 + 104620^2 .

It is not a de Polignac number, because 23012586601 - 215 = 23012553833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23012586631) 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 8 ways as a sum of consecutive naturals, for example, 4396656 + ... + 4401886.

Almost surely, 223012586601 is an apocalyptic number.

23012586601 is the 151699-th square number.

23012586601 is the 75850-th centered octagonal number.

It is an amenable number.

23012586601 is a deficient number, since it is larger than the sum of its proper divisors (825457902).

23012586601 is an frugal number, since it uses more digits than its factorization.

23012586601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 23012586601 in words is "twenty-three billion, twelve million, five hundred eighty-six thousand, six hundred one".

Divisors: 1 29 841 5231 151699 4399271 27363361 793537469 23012586601