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133012012 = 227172271231
BaseRepresentation
bin1111110110110…
…01101000101100
3100021021201011211
413323121220230
5233022341022
621110524204
73203404060
oct773315054
9307251154
10133012012
1169099991
1238666664
1321731743
1413945aa0
15ba25e77
hex7ed9a2c

133012012 has 48 divisors (see below), whose sum is σ = 283143168. Its totient is φ = 53372160.

The previous prime is 133012007. The next prime is 133012031. The reversal of 133012012 is 210210331.

It is a junction number, because it is equal to n+sod(n) for n = 133011983 and 133012001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107437 + ... + 108667.

It is an arithmetic number, because the mean of its divisors is an integer number (5898816).

Almost surely, 2133012012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141571584).

133012012 is an abundant number, since it is smaller than the sum of its proper divisors (150131156).

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

133012012 is a wasteful number, since it uses less digits than its factorization.

133012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 133012012 is about 11533.0833691602. The cubic root of 133012012 is about 510.4622388750.

Adding to 133012012 its reverse (210210331), we get a palindrome (343222343).

The spelling of 133012012 in words is "one hundred thirty-three million, twelve thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 68 119 227 238 454 476 908 1231 1589 2462 3178 3859 4924 6356 7718 8617 15436 17234 20927 27013 34468 41854 54026 83708 108052 146489 279437 292978 558874 585956 1117748 1956059 3912118 4750429 7824236 9500858 19001716 33253003 66506006 133012012