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13333414212 = 2234129731729
BaseRepresentation
bin11000110101011101…
…11100000101000100
31021102020011121210000
430122232330011010
5204301323223322
610043021201300
7651262102506
oct143256740504
937366147700
1013333414212
115722401498
122701400230
13134649b811
14906b59d76
155308613ac
hex31abbc144

13333414212 has 60 divisors (see below), whose sum is σ = 34884152380. Its totient is φ = 4440904704.

The previous prime is 13333414163. The next prime is 13333414219. The reversal of 13333414212 is 21241433331.

It is a happy number.

13333414212 is a `hidden beast` number, since 1 + 3 + 3 + 33 + 414 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13072720896 + 260693316 = 114336^2 + 16146^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13333414219) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 404364 + ... + 436092.

Almost surely, 213333414212 is an apocalyptic number.

13333414212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13333414212 is an abundant number, since it is smaller than the sum of its proper divisors (21550738168).

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

13333414212 is a wasteful number, since it uses less digits than its factorization.

13333414212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33042 (or 33031 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13333414212 its reverse (21241433331), we get a palindrome (34574847543).

The spelling of 13333414212 in words is "thirteen billion, three hundred thirty-three million, four hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1297 2594 3891 5188 7782 11673 15564 23346 31729 35019 46692 63458 70038 95187 105057 126916 140076 190374 210114 285561 380748 420228 571122 856683 1142244 1713366 2570049 3426732 5140098 10280196 41152513 82305026 123457539 164610052 246915078 370372617 493830156 740745234 1111117851 1481490468 2222235702 3333353553 4444471404 6666707106 13333414212