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133133422401 = 32729383190261
BaseRepresentation
bin111101111111101011…
…1101100111101000001
3110201122022000121002100
41323333113230331001
54140124124004101
6141054411141013
712422112263430
oct1737727547501
9421568017070
10133133422401
1151509389821
1221976144769
13c729102525
14662d6c3117
1536e2eaee86
hex1eff5ecf41

133133422401 has 48 divisors (see below), whose sum is σ = 227949096960. Its totient is φ = 73260754560.

The previous prime is 133133422369. The next prime is 133133422403. The reversal of 133133422401 is 104224331331.

It is a happy number.

133133422401 is a `hidden beast` number, since 1 + 3 + 313 + 342 + 2 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 133133422401 - 25 = 133133422369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133133422403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604611 + ... + 794871.

It is an arithmetic number, because the mean of its divisors is an integer number (4748939520).

Almost surely, 2133133422401 is an apocalyptic number.

It is an amenable number.

133133422401 is a deficient number, since it is larger than the sum of its proper divisors (94815674559).

133133422401 is a wasteful number, since it uses less digits than its factorization.

133133422401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190686 (or 190683 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133133422401 its reverse (104224331331), we get a palindrome (237357753732).

The spelling of 133133422401 in words is "one hundred thirty-three billion, one hundred thirty-three million, four hundred twenty-two thousand, four hundred one".

Divisors: 1 3 7 9 21 29 63 87 203 261 383 609 1149 1827 2681 3447 8043 11107 24129 33321 77749 99963 190261 233247 570783 699741 1331827 1712349 3995481 5517569 11986443 16552707 38622983 49658121 72869963 115868949 218609889 347606847 510089741 655829667 1530269223 2113228927 4590807669 6339686781 14792602489 19019060343 44377807467 133133422401