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10143108369 = 325925692
BaseRepresentation
bin10010111001001001…
…11000110100010001
3222011220001021220100
421130210320310101
5131233113431434
64354254003013
7506232666342
oct113444706421
928156037810
1010143108369
11433557a499
121b70aa6469
13c58545594
146c31760c9
153e572a699
hex25c938d11

10143108369 has 27 divisors (see below), whose sum is σ = 14929928923. Its totient is φ = 6635778144.

The previous prime is 10143108347. The next prime is 10143108377. The reversal of 10143108369 is 96380134101.

The square root of 10143108369 is 100713.

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., 1671746769 + 8471361600 = 40887^2 + 92040^2 .

It is a de Polignac number, because none of the positive numbers 2k-10143108369 is a prime.

It is a super-2 number, since 2×101431083692 (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 (10143108329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17825917 + ... + 17826485.

Almost surely, 210143108369 is an apocalyptic number.

10143108369 is the 100713-rd square number.

10143108369 is the 50357-th centered octagonal number.

It is an amenable number.

10143108369 is a deficient number, since it is larger than the sum of its proper divisors (4786820554).

10143108369 is an frugal number, since it uses more digits than its factorization.

10143108369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 10143108369 by its sum of digits (36), we get a square (365151901284 = 6042782).

The spelling of 10143108369 in words is "ten billion, one hundred forty-three million, one hundred eight thousand, three hundred sixty-nine".

Divisors: 1 3 9 59 177 531 569 1707 3481 5121 10443 31329 33571 100713 302139 323761 971283 1980689 2913849 5942067 17826201 19101899 57305697 171917091 1127012041 3381036123 10143108369