Search a number
-
+
132244410100 = 225211181664211
BaseRepresentation
bin111101100101001100…
…0011000111011110100
3110122100100012002110211
41323022120120323310
54131314032110400
6140430252355204
712361065640015
oct1731230307364
9418310162424
10132244410100
11510a2581710
1221768475b04
13c616b8514a
1465875c700c
15368ee03dba
hex1eca618ef4

132244410100 has 72 divisors (see below), whose sum is σ = 314788664736. Its totient is φ = 47823120000.

The previous prime is 132244410079. The next prime is 132244410107. The reversal of 132244410100 is 1014442231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132244410107) 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, 133006 + ... + 531205.

It is an arithmetic number, because the mean of its divisors is an integer number (4372064788).

Almost surely, 2132244410100 is an apocalyptic number.

132244410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132244410100 is an abundant number, since it is smaller than the sum of its proper divisors (182544254636).

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

132244410100 is a wasteful number, since it uses less digits than its factorization.

132244410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664417 (or 664410 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 132244410100 its reverse (1014442231), we get a palindrome (133258852331).

The spelling of 132244410100 in words is "one hundred thirty-two billion, two hundred forty-four million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 181 220 275 362 550 724 905 1100 1810 1991 3620 3982 4525 7964 9050 9955 18100 19910 39820 49775 99550 199100 664211 1328422 2656844 3321055 6642110 7306321 13284220 14612642 16605275 29225284 33210550 36531605 66421100 73063210 120222191 146126420 182658025 240444382 365316050 480888764 601110955 730632100 1202221910 1322444101 2404443820 2644888202 3005554775 5289776404 6011109550 6612220505 12022219100 13224441010 26448882020 33061102525 66122205050 132244410100