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132293561803 = 13127349439523
BaseRepresentation
bin111101100110101001…
…1111000110111001011
3110122110202200020221021
41323031103320313023
54131414122434203
6140435210053311
712362233502314
oct1731523706713
9418422606837
10132293561803
11511182a3057
1221780a1a237
13c6241043b0
14658dd3d60b
1536943b25bd
hex1ecd4f8dcb

132293561803 has 32 divisors (see below), whose sum is σ = 144607232000. Its totient is φ = 120302775936.

The previous prime is 132293561783. The next prime is 132293561809. The reversal of 132293561803 is 308165392231.

It is a cyclic number.

It is not a de Polignac number, because 132293561803 - 221 = 132291464651 is a prime.

It is a super-2 number, since 2×1322935618032 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132293561803.

It is not an unprimeable number, because it can be changed into a prime (132293561809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252951100 + ... + 252951622.

It is an arithmetic number, because the mean of its divisors is an integer number (4518976000).

Almost surely, 2132293561803 is an apocalyptic number.

132293561803 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132293561803 is a deficient number, since it is larger than the sum of its proper divisors (12313670197).

132293561803 is a wasteful number, since it uses less digits than its factorization.

132293561803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451.

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 132293561803 in words is "one hundred thirty-two billion, two hundred ninety-three million, five hundred sixty-one thousand, eight hundred three".

Divisors: 1 13 127 349 439 523 1651 4537 5707 6799 44323 55753 66421 153211 182527 229597 576199 724789 863473 1991743 2372851 2984761 19457797 23180929 29158819 80129353 252951361 301352077 379064647 1041681589 10176427831 132293561803