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13227530121 = 341329832
BaseRepresentation
bin11000101000110110…
…00001011110001001
31021010211221011010000
430110123001132021
5204042221430441
610024315513213
7645535102521
oct142433013611
937124834100
1013227530121
115678661183
122691a58809
13132a577a00
148d6a76681
155263e82b6
hex3146c1789

13227530121 has 45 divisors (see below), whose sum is σ = 21418326039. Its totient is φ = 8131737744.

The previous prime is 13227530039. The next prime is 13227530123. The reversal of 13227530121 is 12103572231.

The square root of 13227530121 is 115011.

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

13227530121 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 7 + 530 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1956735225 + 11270794896 = 44235^2 + 106164^2 .

It is a de Polignac number, because none of the positive numbers 2k-13227530121 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13227530123) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13455796 + ... + 13456778.

Almost surely, 213227530121 is an apocalyptic number.

13227530121 is the 115011-st square number.

13227530121 is the 57506-th centered octagonal number.

It is an amenable number.

13227530121 is a deficient number, since it is larger than the sum of its proper divisors (8190795918).

13227530121 is an frugal number, since it uses more digits than its factorization.

13227530121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 13227530121 in words is "thirteen billion, two hundred twenty-seven million, five hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 983 1053 1521 2949 4563 8847 12779 13689 26541 38337 79623 115011 166127 345033 498381 966289 1035099 1495143 2898867 4485429 8696601 12561757 13456287 26089803 37685271 78269409 113055813 163302841 339167439 489908523 1017502317 1469725569 4409176707 13227530121