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133302133332 = 223281112373691
BaseRepresentation
bin111110000100101101…
…1010010001001010100
3110202002001110222222100
41330021123102021110
54141000321231312
6141123235202100
712426231303144
oct1741133221124
9422061428870
10133302133332
1151595640845
1221a02746330
13c755052b94
146647c7c924
153702bd85dc
hex1f096d2254

133302133332 has 72 divisors (see below), whose sum is σ = 337737868832. Its totient is φ = 44331364800.

The previous prime is 133302133313. The next prime is 133302133351. The reversal of 133302133332 is 233331203331.

133302133332 is a `hidden beast` number, since 13 + 3 + 302 + 13 + 3 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (133302133313) and next prime (133302133351).

It is a junction number, because it is equal to n+sod(n) for n = 133302133296 and 133302133305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36113607 + ... + 36117297.

Almost surely, 2133302133332 is an apocalyptic number.

133302133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133302133332 is an abundant number, since it is smaller than the sum of its proper divisors (204435735500).

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

133302133332 is a wasteful number, since it uses less digits than its factorization.

133302133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5749 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 133302133332 its reverse (233331203331), we get a palindrome (366633336663).

The spelling of 133302133332 in words is "one hundred thirty-three billion, three hundred two million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 811 1237 1622 2433 2474 3244 3691 3711 4866 4948 7299 7382 7422 9732 11073 11133 14598 14764 14844 22146 22266 29196 33219 44292 44532 66438 132876 1003207 2006414 2993401 3009621 4012828 4565767 5986802 6019242 8980203 9028863 9131534 11973604 12038484 13697301 17960406 18057726 18263068 26940609 27394602 35920812 36115452 41091903 53881218 54789204 82183806 107762436 164367612 3702837037 7405674074 11108511111 14811348148 22217022222 33325533333 44434044444 66651066666 133302133332