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132343013106 = 2337931022741
BaseRepresentation
bin111101101000001000…
…0100001111011110010
3110122121012201122101000
41323100100201323302
54132014302404411
6140444134022430
712363404023233
oct1732020417362
9418535648330
10132343013106
11511431a95a7
12217954a7a16
13c631429b15
14659673308a
1536988ce956
hex1ed0421ef2

132343013106 has 32 divisors (see below), whose sum is σ = 297818323200. Its totient is φ = 43555926960.

The previous prime is 132343013093. The next prime is 132343013111. The reversal of 132343013106 is 601310343231.

132343013106 is a `hidden beast` number, since 1 + 3 + 2 + 343 + 0 + 1 + 310 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 132343013106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15507105 + ... + 15515636.

It is an arithmetic number, because the mean of its divisors is an integer number (9306822600).

Almost surely, 2132343013106 is an apocalyptic number.

132343013106 is an abundant number, since it is smaller than the sum of its proper divisors (165475310094).

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

132343013106 is a wasteful number, since it uses less digits than its factorization.

132343013106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31022831 (or 31022825 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132343013106 its reverse (601310343231), we get a palindrome (733653356337).

The spelling of 132343013106 in words is "one hundred thirty-two billion, three hundred forty-three million, thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 31022741 62045482 93068223 186136446 279204669 558409338 837614007 1675228014 2450796539 4901593078 7352389617 14704779234 22057168851 44114337702 66171506553 132343013106