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133213293 = 32313671301
BaseRepresentation
bin1111111000010…
…10110001101101
3100021122221021200
413330022301231
5233100311133
621115120113
73205202643
oct774126155
9307587250
10133213293
1169217134
1238743039
13217a2245
1413999193
15ba65913
hex7f0ac6d

133213293 has 24 divisors (see below), whose sum is σ = 199320576. Its totient is φ = 85644000.

The previous prime is 133213277. The next prime is 133213337. The reversal of 133213293 is 392312331.

133213293 is a `hidden beast` number, since 1 + 332 + 1 + 329 + 3 = 666.

It is not a de Polignac number, because 133213293 - 24 = 133213277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213273) 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, 101743 + ... + 103043.

It is an arithmetic number, because the mean of its divisors is an integer number (8305024).

Almost surely, 2133213293 is an apocalyptic number.

It is an amenable number.

133213293 is a deficient number, since it is larger than the sum of its proper divisors (66107283).

133213293 is a wasteful number, since it uses less digits than its factorization.

133213293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1702 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 133213293 is about 11541.8063144380. The cubic root of 133213293 is about 510.7195954970.

The spelling of 133213293 in words is "one hundred thirty-three million, two hundred thirteen thousand, two hundred ninety-three".

Divisors: 1 3 9 31 93 279 367 1101 1301 3303 3903 11377 11709 34131 40331 102393 120993 362979 477467 1432401 4297203 14801477 44404431 133213293