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11296501225 = 522927332
BaseRepresentation
bin10101000010101001…
…01110110111101001
31002011021100201110021
422201110232313221
5141113401014400
65104535120441
7546636450622
oct124124566751
932137321407
1011296501225
114877642629
122233213121
1310b049ba69
14792412a49
15461b0b71a
hex2a152ede9

11296501225 has 27 divisors (see below), whose sum is σ = 14527159023. Its totient is φ = 8713669440.

The previous prime is 11296501219. The next prime is 11296501303. The reversal of 11296501225 is 52210569211.

The square root of 11296501225 is 106285.

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

It can be written as a sum of positive squares in 13 ways, for example, as 777127129 + 10519374096 = 27877^2 + 102564^2 .

It is not a de Polignac number, because 11296501225 - 23 = 11296501217 is a prime.

It is a super-2 number, since 2×112965012252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15410959 + ... + 15411691.

Almost surely, 211296501225 is an apocalyptic number.

11296501225 is the 106285-th square number.

11296501225 is the 53143-rd centered octagonal number.

It is an amenable number.

11296501225 is a deficient number, since it is larger than the sum of its proper divisors (3230657798).

11296501225 is an frugal number, since it uses more digits than its factorization.

11296501225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 11296501225 in words is "eleven billion, two hundred ninety-six million, five hundred one thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 733 841 3665 4205 18325 21025 21257 106285 531425 537289 616453 2686445 3082265 13432225 15411325 15581381 77906905 389534525 451860049 2259300245 11296501225