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10127000689 = 13277412
BaseRepresentation
bin10010110111001110…
…11100010001110001
3222010202201221022121
421123213130101301
5131220003010224
64352520434241
7505646041231
oct113347342161
928122657277
1010127000689
114327478563
121b67618981
13c550c5a00
146c0d81cc1
153e40e7be4
hex25b9dc471

10127000689 has 9 divisors (see below), whose sum is σ = 10967340609. Its totient is φ = 9346793040.

The previous prime is 10127000669. The next prime is 10127000699. The reversal of 10127000689 is 98600072101.

It is a happy number.

The square root of 10127000689 is 100633.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4258215025 + 5868785664 = 65255^2 + 76608^2 .

It is not a de Polignac number, because 10127000689 - 27 = 10127000561 is a prime.

It is a super-2 number, since 2×101270006892 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10127000629) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1304359 + ... + 1312099.

It is an arithmetic number, because the mean of its divisors is an integer number (1218593401).

Almost surely, 210127000689 is an apocalyptic number.

10127000689 is the 100633-rd square number.

10127000689 is the 50317-th centered octagonal number.

It is an amenable number.

10127000689 is a deficient number, since it is larger than the sum of its proper divisors (840339920).

10127000689 is an frugal number, since it uses more digits than its factorization.

10127000689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15508 (or 7754 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 10127000689 in words is "ten billion, one hundred twenty-seven million, six hundred eighty-nine", and thus it is an aban number.

Divisors: 1 13 169 7741 100633 1308229 59923081 779000053 10127000689