Search a number
-
+
10193123521 = 72144232
BaseRepresentation
bin10010111111000111…
…01011100011000001
3222022101011022210101
421133203223203001
5131333414423041
64403242002401
7510411056200
oct113743534301
928271138711
1010193123521
114360830629
121b857a6401
13c65a07849
146c9a75237
153e9d09b31
hex25f8eb8c1

10193123521 has 9 divisors (see below), whose sum is σ = 11858129121. Its totient is φ = 8736357252.

The previous prime is 10193123519. The next prime is 10193123527. The reversal of 10193123521 is 12532139101.

The square root of 10193123521 is 100961.

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

It is not a de Polignac number, because 10193123521 - 21 = 10193123519 is a prime.

It is a super-2 number, since 2×101931235212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10193123521.

It is not an unprimeable number, because it can be changed into a prime (10193123527) 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, 699516 + ... + 713938.

Almost surely, 210193123521 is an apocalyptic number.

10193123521 is the 100961-st square number.

10193123521 is the 50481-st centered octagonal number.

It is an amenable number.

10193123521 is a deficient number, since it is larger than the sum of its proper divisors (1665005600).

10193123521 is an frugal number, since it uses more digits than its factorization.

10193123521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28860 (or 14430 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 10193123521 in words is "ten billion, one hundred ninety-three million, one hundred twenty-three thousand, five hundred twenty-one".

Divisors: 1 7 49 14423 100961 706727 208022929 1456160503 10193123521