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133010412 = 223193715767
BaseRepresentation
bin1111110110110…
…01001111101100
3100021021121222120
413323121033230
5233022313122
621110512540
73203366313
oct773311754
9307247876
10133010412
1169098767
1238665750
1321730ab2
141394527a
15ba2575c
hex7ed93ec

133010412 has 48 divisors (see below), whose sum is σ = 335543040. Its totient is φ = 40865472.

The previous prime is 133010407. The next prime is 133010419. The reversal of 133010412 is 214010331.

It is a junction number, because it is equal to n+sod(n) for n = 133010391 and 133010400.

It is not an unprimeable number, because it can be changed into a prime (133010419) 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, 553 + ... + 16319.

It is an arithmetic number, because the mean of its divisors is an integer number (6990480).

Almost surely, 2133010412 is an apocalyptic number.

133010412 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 133010412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167771520).

133010412 is an abundant number, since it is smaller than the sum of its proper divisors (202532628).

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

133010412 is a wasteful number, since it uses less digits than its factorization.

133010412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15830 (or 15828 counting only the distinct ones).

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

The square root of 133010412 is about 11533.0140032864. The cubic root of 133010412 is about 510.4601920852.

Adding to 133010412 its reverse (214010331), we get a palindrome (347020743).

The spelling of 133010412 in words is "one hundred thirty-three million, ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 4218 8436 15767 31534 47301 63068 94602 189204 299573 583379 599146 898719 1166758 1198292 1750137 1797438 2333516 3500274 3594876 7000548 11084201 22168402 33252603 44336804 66505206 133010412