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132133220303310 = 23252156368086393
BaseRepresentation
bin11110000010110010101001…
…101010001100000111001110
3122022211210221022100202000200
4132002302221222030013032
5114304332313344201220
61145005055144234330
736555211243125342
oct3602625152140716
9568753838322020
10132133220303310
1139113425178736
12129a037816b9a6
135896155c1b0a5
14248b3d3aa9622
15104214ce98890
hex782ca9a8c1ce

132133220303310 has 48 divisors (see below), whose sum is σ = 343562310050544. Its totient is φ = 35233890823296.

The previous prime is 132133220303303. The next prime is 132133220303317. The reversal of 132133220303310 is 13303022331231.

132133220303310 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 322 + 0 + 3 + 0 + 331 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132133220303303) and next prime (132133220303317).

It is a super-2 number, since 2×1321332203033102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133220303317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32102527 + ... + 35983866.

It is an arithmetic number, because the mean of its divisors is an integer number (7157548126053).

Almost surely, 2132133220303310 is an apocalyptic number.

132133220303310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132133220303310 is an abundant number, since it is smaller than the sum of its proper divisors (211429089747234).

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

132133220303310 is a wasteful number, since it uses less digits than its factorization.

132133220303310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68107969 (or 68107966 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132133220303310 its reverse (13303022331231), we get a palindrome (145436242634541).

The spelling of 132133220303310 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, two hundred twenty million, three hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 21563 43126 64689 107815 129378 194067 215630 323445 388134 646890 970335 1940670 68086393 136172786 204259179 340431965 408518358 612777537 680863930 1021295895 1225555074 2042591790 3063887685 6127775370 1468146892259 2936293784518 4404440676777 7340734461295 8808881353554 13213322030331 14681468922590 22022203383885 26426644060662 44044406767770 66066610151655 132133220303310