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132033012319 = 13231737273511
BaseRepresentation
bin111101011110111000…
…1111110001001011111
3110121210121101222020101
41322331301332021133
54130400422343234
6140353301401531
712352621041655
oct1727561761137
9417717358211
10132033012319
1150aa42143aa
12217097092a7
13c5b2139cc0
1465674b8dd5
15367b597814
hex1ebdc7e25f

132033012319 has 32 divisors (see below), whose sum is σ = 149477013504. Its totient is φ = 115711390080.

The previous prime is 132033012313. The next prime is 132033012329. The reversal of 132033012319 is 913210330231.

It is not a de Polignac number, because 132033012319 - 221 = 132030915167 is a prime.

It is a super-2 number, since 2×1320330123192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132033012313) 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, 37603774 + ... + 37607284.

It is an arithmetic number, because the mean of its divisors is an integer number (4671156672).

Almost surely, 2132033012319 is an apocalyptic number.

132033012319 is a deficient number, since it is larger than the sum of its proper divisors (17444001185).

132033012319 is a wasteful number, since it uses less digits than its factorization.

132033012319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 132033012319 in words is "one hundred thirty-two billion, thirty-three million, twelve thousand, three hundred nineteen".

Divisors: 1 13 23 173 299 727 2249 3511 3979 9451 16721 45643 51727 80753 125771 217373 607403 1049789 1635023 2552497 2892733 7896239 13970269 33182461 37605529 58707431 181613497 441581981 763196603 5740565753 10156385563 132033012319