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133012212 = 223293111229
BaseRepresentation
bin1111110110110…
…01101011110100
3100021021201110020
413323121223310
5233022342322
621110525140
73203404464
oct773315364
9307251406
10133012212
116909a053
12386667b0
1321731868
1413945ba4
15ba2605c
hex7ed9af4

133012212 has 48 divisors (see below), whose sum is σ = 322358400. Its totient is φ = 42636160.

The previous prime is 133012211. The next prime is 133012213. The reversal of 133012212 is 212210331.

It is an interprime number because it is at equal distance from previous prime (133012211) and next prime (133012213).

It is a super-2 number, since 2×1330122122 = 35384497082265888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133012191 and 133012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133012211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107614 + ... + 108842.

It is an arithmetic number, because the mean of its divisors is an integer number (6715800).

Almost surely, 2133012212 is an apocalyptic number.

133012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161179200).

133012212 is an abundant number, since it is smaller than the sum of its proper divisors (189346188).

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

133012212 is a wasteful number, since it uses less digits than its factorization.

133012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 133012212 is about 11533.0920398651. The cubic root of 133012212 is about 510.4624947225.

Adding to 133012212 its reverse (212210331), we get a palindrome (345222543).

The spelling of 133012212 in words is "one hundred thirty-three million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 311 348 622 933 1229 1244 1866 2458 3687 3732 4916 7374 9019 14748 18038 27057 35641 36076 54114 71282 106923 108228 142564 213846 382219 427692 764438 1146657 1528876 2293314 4586628 11084351 22168702 33253053 44337404 66506106 133012212