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133301352 = 23317893671
BaseRepresentation
bin1111111001000…
…00010001101000
3100021211102002010
413330200101220
5233111120402
621121035520
73206020452
oct774402150
9307742063
10133301352
1169277308
1238785ba0
1321803352
14139bd2d2
15ba81a6c
hex7f20468

133301352 has 64 divisors (see below), whose sum is σ = 356918400. Its totient is φ = 41338880.

The previous prime is 133301351. The next prime is 133301381. The reversal of 133301352 is 253103331.

It is not an unprimeable number, because it can be changed into a prime (133301351) 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, 34477 + ... + 38147.

It is an arithmetic number, because the mean of its divisors is an integer number (5576850).

Almost surely, 2133301352 is an apocalyptic number.

133301352 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 133301352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178459200).

133301352 is an abundant number, since it is smaller than the sum of its proper divisors (223617048).

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

133301352 is a wasteful number, since it uses less digits than its factorization.

133301352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 133301352 is about 11545.6204683854. The cubic root of 133301352 is about 510.8321056672.

Adding to 133301352 its reverse (253103331), we get a palindrome (386404683).

The spelling of 133301352 in words is "one hundred thirty-three million, three hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 356 408 534 712 1068 1513 2136 3026 3671 4539 6052 7342 9078 11013 12104 14684 18156 22026 29368 36312 44052 62407 88104 124814 187221 249628 326719 374442 499256 653438 748884 980157 1306876 1497768 1960314 2613752 3920628 5554223 7841256 11108446 16662669 22216892 33325338 44433784 66650676 133301352