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132313110 = 23537199599
BaseRepresentation
bin1111110001011…
…11000000010110
3100012222012110120
413320233000112
5232333004420
621043532410
73164433336
oct770570026
9305865416
10132313110
1168761886
123838a106
13215485a7
14138030c6
15b938d40
hex7e2f016

132313110 has 64 divisors (see below), whose sum is σ = 328320000. Its totient is φ = 34100352.

The previous prime is 132313081. The next prime is 132313117. The reversal of 132313110 is 11313231.

132313110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 132313110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220591 + ... + 221189.

It is an arithmetic number, because the mean of its divisors is an integer number (5130000).

Almost surely, 2132313110 is an apocalyptic number.

132313110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132313110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160000).

132313110 is an abundant number, since it is smaller than the sum of its proper divisors (196006890).

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

132313110 is a wasteful number, since it uses less digits than its factorization.

132313110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 132313110 is about 11502.7435857712. The cubic root of 132313110 is about 509.5666060503.

Adding to 132313110 its reverse (11313231), we get a palindrome (143626341).

The spelling of 132313110 in words is "one hundred thirty-two million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 199 222 370 398 555 597 599 995 1110 1194 1198 1797 1990 2985 2995 3594 5970 5990 7363 8985 14726 17970 22089 22163 36815 44178 44326 66489 73630 110445 110815 119201 132978 220890 221630 238402 332445 357603 596005 664890 715206 1192010 1788015 3576030 4410437 8820874 13231311 22052185 26462622 44104370 66156555 132313110