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132223010130 = 23256124084337
BaseRepresentation
bin111101100100100011…
…0110000010101010010
3110122021211220212020100
41323021012300111102
54131243042311010
6140424205553230
712360416020311
oct1731106602522
9418254825210
10132223010130
1151091495592
1221761275816
13c612601743
146584816278
15368d0c82c0
hex1ec91b0552

132223010130 has 48 divisors (see below), whose sum is σ = 349415575704. Its totient is φ = 34681443840.

The previous prime is 132223010119. The next prime is 132223010137. The reversal of 132223010130 is 31010322231.

132223010130 is a `hidden beast` number, since 13 + 222 + 301 + 0 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98702160561 + 33520849569 = 314169^2 + 183087^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132223010137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12036679 + ... + 12047658.

Almost surely, 2132223010130 is an apocalyptic number.

132223010130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132223010130 is an abundant number, since it is smaller than the sum of its proper divisors (217192565574).

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

132223010130 is a wasteful number, since it uses less digits than its factorization.

132223010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24084411 (or 24084408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132223010130 its reverse (31010322231), we get a palindrome (163233332361).

The spelling of 132223010130 in words is "one hundred thirty-two billion, two hundred twenty-three million, ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 24084337 48168674 72253011 120421685 144506022 216759033 240843370 361265055 433518066 722530110 1083795165 1469144557 2167590330 2938289114 4407433671 7345722785 8814867342 13222301013 14691445570 22037168355 26444602026 44074336710 66111505065 132223010130