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132310330100 = 225213122982813
BaseRepresentation
bin111101100111001001…
…1110110101011110100
3110122111221020011201022
41323032103312223310
54131432421030400
6140441005320312
712362526151424
oct1731623665364
9418457204638
10132310330100
1151126806353
1221786566098
13c627725870
146592266484
153695ac5b85
hex1ece4f6af4

132310330100 has 72 divisors (see below), whose sum is σ = 309454386360. Its totient is φ = 48812705280.

The previous prime is 132310330099. The next prime is 132310330109. The reversal of 132310330100 is 1033013231.

It can be written as a sum of positive squares in 12 ways, for example, as 9829929316 + 122480400784 = 99146^2 + 349972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132310330109) 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 23 ways as a sum of consecutive naturals, for example, 1556294 + ... + 1639106.

Almost surely, 2132310330100 is an apocalyptic number.

132310330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132310330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154727193180).

132310330100 is an abundant number, since it is smaller than the sum of its proper divisors (177144056260).

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

132310330100 is a wasteful number, since it uses less digits than its factorization.

132310330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84069 (or 84062 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 132310330100 its reverse (1033013231), we get a palindrome (133343343331).

The spelling of 132310330100 in words is "one hundred thirty-two billion, three hundred ten million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1229 1300 2458 4916 6145 12290 15977 24580 30725 31954 61450 63908 79885 82813 122900 159770 165626 319540 331252 399425 414065 798850 828130 1076569 1597700 1656260 2070325 2153138 4140650 4306276 5382845 8281300 10765690 21531380 26914225 53828450 101777177 107656900 203554354 407108708 508885885 1017771770 1323103301 2035543540 2544429425 2646206602 5088858850 5292413204 6615516505 10177717700 13231033010 26462066020 33077582525 66155165050 132310330100