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12233121210 = 2325413315209
BaseRepresentation
bin10110110010010011…
…01001110110111010
31011120112202221112100
423121021221312322
5200023134334320
65341514124230
7612101546262
oct133111516672
934515687470
1012233121210
115208307032
122454a20676
1311cc54767b
148409827a2
154b8e6d790
hex2d9269dba

12233121210 has 48 divisors (see below), whose sum is σ = 32581883880. Its totient is φ = 3182599680.

The previous prime is 12233121181. The next prime is 12233121269. The reversal of 12233121210 is 1212133221.

12233121210 is a `hidden beast` number, since 122 + 331 + 2 + 1 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10532301129 + 1700820081 = 102627^2 + 41241^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1653915 + ... + 1661294.

Almost surely, 212233121210 is an apocalyptic number.

12233121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12233121210 is an abundant number, since it is smaller than the sum of its proper divisors (20348762670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12233121210 is a wasteful number, since it uses less digits than its factorization.

12233121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315263 (or 3315260 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12233121210 its reverse (1212133221), we get a palindrome (13445254431).

The spelling of 12233121210 in words is "twelve billion, two hundred thirty-three million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 3315209 6630418 9945627 16576045 19891254 29836881 33152090 49728135 59673762 99456270 135923569 149184405 271847138 298368810 407770707 679617845 815541414 1223312121 1359235690 2038853535 2446624242 4077707070 6116560605 12233121210