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12133011221 = 23222935749
BaseRepresentation
bin10110100110010111…
…10000111100010101
31011022120101211102222
423103023300330111
5144322022324341
65323540312125
7606444615362
oct132313607425
934276354388
1012133011221
11516684aa01
1224273a2645
1311b4895aa6
14831563469
154b029644b
hex2d32f0f15

12133011221 has 6 divisors (see below), whose sum is σ = 12683469750. Its totient is φ = 11605488488.

The previous prime is 12133011217. The next prime is 12133011277. The reversal of 12133011221 is 12211033121.

It can be written as a sum of positive squares in only one way, i.e., 11860299025 + 272712196 = 108905^2 + 16514^2 .

It is not a de Polignac number, because 12133011221 - 22 = 12133011217 is a prime.

It is a super-2 number, since 2×121330112212 (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 12133011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133011211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11467346 + ... + 11468403.

It is an arithmetic number, because the mean of its divisors is an integer number (2113911625).

Almost surely, 212133011221 is an apocalyptic number.

It is an amenable number.

12133011221 is a deficient number, since it is larger than the sum of its proper divisors (550458529).

12133011221 is an equidigital number, since it uses as much as digits as its factorization.

12133011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22935795 (or 22935772 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12133011221 its reverse (12211033121), we get a palindrome (24344044342).

The spelling of 12133011221 in words is "twelve billion, one hundred thirty-three million, eleven thousand, two hundred twenty-one".

Divisors: 1 23 529 22935749 527522227 12133011221