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133033123013 = 7478313137189
BaseRepresentation
bin111101111100101100…
…1000101110011000101
3110201101022021212012012
41323321121011303011
54134422434414023
6141040425304005
712416453613410
oct1737131056305
9421338255165
10133033123013
115146780336a
1221948635005
13c7113b568b
146620254b77
1536d929b978
hex1ef9645cc5

133033123013 has 32 divisors (see below), whose sum is σ = 158347284480. Its totient is φ = 109413046080.

The previous prime is 133033122977. The next prime is 133033123031. The reversal of 133033123013 is 310321330331.

It is a cyclic number.

It is not a de Polignac number, because 133033123013 - 210 = 133033121989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133033123013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133033123033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3558623 + ... + 3595811.

It is an arithmetic number, because the mean of its divisors is an integer number (4948352640).

Almost surely, 2133033123013 is an apocalyptic number.

It is an amenable number.

133033123013 is a deficient number, since it is larger than the sum of its proper divisors (25314161467).

133033123013 is a wasteful number, since it uses less digits than its factorization.

133033123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37457.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 133033123013 its reverse (310321330331), we get a palindrome (443354453344).

The spelling of 133033123013 in words is "one hundred thirty-three billion, thirty-three million, one hundred twenty-three thousand, thirteen".

Divisors: 1 7 47 83 131 329 581 917 3901 6157 10873 27307 37189 43099 76111 260323 511031 1747883 3086687 3577217 4871759 12235181 21606809 34102313 145074289 228972673 404355997 1015520023 1602808711 2830491979 19004731859 133033123013