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133100331 = 3713539199
BaseRepresentation
bin1111110111011…
…11001100101011
3100021110012022220
413323233030223
5233033202311
621112445123
73204222420
oct773571453
9307405286
10133100331
116914a281
12386a97a3
13217629c0
1413969d47
15ba42206
hex7eef32b

133100331 has 32 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 68874624.

The previous prime is 133100299. The next prime is 133100347. The reversal of 133100331 is 133001331.

It is not a de Polignac number, because 133100331 - 25 = 133100299 is a prime.

It is a super-2 number, since 2×1331003312 = 35431396224619122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133100331.

It is not an unprimeable number, because it can be changed into a prime (133100431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9870 + ... + 19068.

It is an arithmetic number, because the mean of its divisors is an integer number (6955200).

Almost surely, 2133100331 is an apocalyptic number.

133100331 is a deficient number, since it is larger than the sum of its proper divisors (89466069).

133100331 is a wasteful number, since it uses less digits than its factorization.

133100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9275.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 133100331 is about 11536.9116751408. The cubic root of 133100331 is about 510.5751949384.

Adding to 133100331 its reverse (133001331), we get a palindrome (266101662).

The spelling of 133100331 in words is "one hundred thirty-three million, one hundred thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 39 53 91 159 273 371 689 1113 2067 4823 9199 14469 27597 64393 119587 193179 358761 487547 837109 1462641 2511327 3412829 6338111 10238487 19014333 44366777 133100331