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133134012 = 2232112911593
BaseRepresentation
bin1111110111101…
…11011010111100
3100021111220112100
413323313122330
5233040242022
621113305100
73204422544
oct773673274
9307456470
10133134012
1169172610
1238705190
132177512b
1413978324
15ba4c1ac
hex7ef76bc

133134012 has 72 divisors (see below), whose sum is σ = 379819440. Its totient is φ = 38949120.

The previous prime is 133133981. The next prime is 133134013. The reversal of 133134012 is 210431331.

It is a super-2 number, since 2×1331340122 = 35449330302432288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133134013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5688 + ... + 17280.

It is an arithmetic number, because the mean of its divisors is an integer number (5275270).

Almost surely, 2133134012 is an apocalyptic number.

133134012 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 133134012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189909720).

133134012 is an abundant number, since it is smaller than the sum of its proper divisors (246685428).

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

133134012 is a wasteful number, since it uses less digits than its factorization.

133134012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11643 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133134012 is about 11538.3712888778. The cubic root of 133134012 is about 510.6182582743.

Adding to 133134012 its reverse (210431331), we get a palindrome (343565343).

The spelling of 133134012 in words is "one hundred thirty-three million, one hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 11593 23186 34779 46372 69558 104337 127523 139116 208674 255046 336197 382569 417348 510092 672394 765138 1008591 1147707 1344788 1530276 2017182 2295414 3025773 3698167 4034364 4590828 6051546 7396334 11094501 12103092 14792668 22189002 33283503 44378004 66567006 133134012