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132310013310 = 23257192044661
BaseRepresentation
bin111101100111001001…
…0101001010101111110
3110122111220122002011100
41323032102221111332
54131432330411220
6140440554433530
712362523362016
oct1731622512576
9418456562140
10132310013310
115112660a342
12217864328a6
13c627644607
1465921c2c46
153695a61d90
hex1ece4a957e

132310013310 has 48 divisors (see below), whose sum is σ = 344484653760. Its totient is φ = 35233581120.

The previous prime is 132310013287. The next prime is 132310013317. The reversal of 132310013310 is 13310013231.

It is a happy number.

132310013310 is a `hidden beast` number, since 1 + 32 + 310 + 0 + 13 + 310 = 666.

It is a super-3 number, since 3×1323100133103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132310013317) 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, 957621 + ... + 1087040.

It is an arithmetic number, because the mean of its divisors is an integer number (7176763620).

Almost surely, 2132310013310 is an apocalyptic number.

132310013310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132310013310 is an abundant number, since it is smaller than the sum of its proper divisors (212174640450).

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

132310013310 is a wasteful number, since it uses less digits than its factorization.

132310013310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045393 (or 2045390 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 132310013310 its reverse (13310013231), we get a palindrome (145620026541).

The spelling of 132310013310 in words is "one hundred thirty-two billion, three hundred ten million, thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 719 1438 2157 3595 4314 6471 7190 10785 12942 21570 32355 64710 2044661 4089322 6133983 10223305 12267966 18401949 20446610 30669915 36803898 61339830 92009745 184019490 1470111259 2940222518 4410333777 7350556295 8820667554 13231001331 14701112590 22051668885 26462002662 44103337770 66155006655 132310013310