Search a number
-
+
132010103111100 = 22352440033677037
BaseRepresentation
bin11110000000111111111111…
…010011010111110110111100
3122022102001011001122100200220
4132000333333103113312330
5114300323142344023400
61144432334255421340
736543262263222114
oct3600777723276674
9568361131570626
10132010103111100
1139076196789a05
1212980538524850
135887664c995b6
142485474772044
15103dd445007a0
hex780fff4d7dbc

132010103111100 has 36 divisors (see below), whose sum is σ = 381949231668984. Its totient is φ = 35202694162880.

The previous prime is 132010103111093. The next prime is 132010103111143. The reversal of 132010103111100 is 1111301010231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132010103111100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220016838219 + ... + 220016838818.

It is an arithmetic number, because the mean of its divisors is an integer number (10609700879694).

Almost surely, 2132010103111100 is an apocalyptic number.

132010103111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132010103111100 is an abundant number, since it is smaller than the sum of its proper divisors (249939128557884).

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

132010103111100 is a wasteful number, since it uses less digits than its factorization.

132010103111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440033677054 (or 440033677047 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 132010103111100 its reverse (1111301010231), we get a palindrome (133121404121331).

The spelling of 132010103111100 in words is "one hundred thirty-two trillion, ten billion, one hundred three million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 440033677037 880067354074 1320101031111 1760134708148 2200168385185 2640202062222 4400336770370 5280404124444 6600505155555 8800673540740 11000841925925 13201010311110 22001683851850 26402020622220 33002525777775 44003367703700 66005051555550 132010103111100