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133421310 = 233511167269
BaseRepresentation
bin1111111001111…
…01100011111110
3100022001111122000
413330331203332
5233123440220
621123403130
73210030261
oct774754376
9308044560
10133421310
1169349450
12388234a6
1321845b29
1413a10cd8
15baa7390
hex7f3d8fe

133421310 has 128 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 32031360.

The previous prime is 133421291. The next prime is 133421311. The reversal of 133421310 is 13124331.

133421310 is a `hidden beast` number, since 1 + 334 + 21 + 310 = 666.

It is a super-2 number, since 2×1334213102 = 35602491924232200, 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 (133421311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495856 + ... + 496124.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2133421310 is an apocalyptic number.

133421310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133421310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

133421310 is an abundant number, since it is smaller than the sum of its proper divisors (258489090).

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

133421310 is a wasteful number, since it uses less digits than its factorization.

133421310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

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

The square root of 133421310 is about 11550.8142570124. The cubic root of 133421310 is about 510.9852924741.

Adding to 133421310 its reverse (13124331), we get a palindrome (146545641).

The spelling of 133421310 in words is "one hundred thirty-three million, four hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 167 198 269 270 297 330 334 495 501 538 594 807 835 990 1002 1345 1485 1503 1614 1670 1837 2421 2505 2690 2959 2970 3006 3674 4035 4509 4842 5010 5511 5918 7263 7515 8070 8877 9018 9185 11022 12105 14526 14795 15030 16533 17754 18370 22545 24210 26631 27555 29590 33066 36315 44385 44923 45090 49599 53262 55110 72630 79893 82665 88770 89846 99198 133155 134769 159786 165330 224615 247995 266310 269538 399465 404307 449230 494153 495990 673845 798930 808614 988306 1212921 1347690 1482459 2021535 2425842 2470765 2964918 4043070 4447377 4941530 6064605 7412295 8894754 12129210 13342131 14824590 22236885 26684262 44473770 66710655 133421310