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133231412412 = 2234758744009
BaseRepresentation
bin111110000010100110…
…1100000010010111100
3110201220010102000010000
41330011031200102330
54140324220144122
6141112231314300
712424412214540
oct1740515402274
9421803360100
10133231412412
11515597280aa
12219a2b1b990
13c7434c1197
14663c70da20
1536eb8b90ac
hex1f053604bc

133231412412 has 60 divisors (see below), whose sum is σ = 398049411760. Its totient is φ = 38066117184.

The previous prime is 133231412411. The next prime is 133231412437. The reversal of 133231412412 is 214214132331.

133231412412 is a `hidden beast` number, since 1 + 3 + 3 + 231 + 4 + 12 + 412 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133231412411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29369737 + ... + 29374272.

Almost surely, 2133231412412 is an apocalyptic number.

133231412412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133231412412 is an abundant number, since it is smaller than the sum of its proper divisors (264817999348).

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

133231412412 is a wasteful number, since it uses less digits than its factorization.

133231412412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58744032 (or 58744021 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 133231412412 its reverse (214214132331), we get a palindrome (347445544743).

The spelling of 133231412412 in words is "one hundred thirty-three billion, two hundred thirty-one million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 58744009 117488018 176232027 234976036 352464054 411208063 528696081 704928108 822416126 1057392162 1233624189 1586088243 1644832252 2114784324 2467248378 3172176486 3700872567 4758264729 4934496756 6344352972 7401745134 9516529458 11102617701 14803490268 19033058916 22205235402 33307853103 44410470804 66615706206 133231412412