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132311130 = 2357837591
BaseRepresentation
bin1111110001011…
…10100001011010
3100012222002202020
413320232201122
5232332424010
621043515310
73164424510
oct770564132
9305862666
10132311130
1168760346
1238388b36
1321547713
14138024b0
15b938470
hex7e2e85a

132311130 has 64 divisors (see below), whose sum is σ = 367331328. Its totient is φ = 29874240.

The previous prime is 132311093. The next prime is 132311173. The reversal of 132311130 is 31113231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13635 + ... + 21225.

It is an arithmetic number, because the mean of its divisors is an integer number (5739552).

Almost surely, 2132311130 is an apocalyptic number.

132311130 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 132311130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183665664).

132311130 is an abundant number, since it is smaller than the sum of its proper divisors (235020198).

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

132311130 is a wasteful number, since it uses less digits than its factorization.

132311130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691.

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

The square root of 132311130 is about 11502.6575190258. The cubic root of 132311130 is about 509.5640642338.

Adding to 132311130 its reverse (31113231), we get a palindrome (163424361).

The spelling of 132311130 in words is "one hundred thirty-two million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2490 2905 3486 5810 7591 8715 15182 17430 22773 37955 45546 53137 75910 106274 113865 159411 227730 265685 318822 531370 630053 797055 1260106 1594110 1890159 3150265 3780318 4410371 6300530 8820742 9450795 13231113 18901590 22051855 26462226 44103710 66155565 132311130