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132321131031 = 31715146736793
BaseRepresentation
bin111101100111011110…
…1000011101000010111
3110122112200112220210210
41323032331003220113
54131443202143111
6140442033020503
712363020025135
oct1731675035027
9418480486723
10132321131031
1151131913241
122178a0b4733
13c629a37b4b
146593878755
153696a0b0a6
hex1ecef43a17

132321131031 has 32 divisors (see below), whose sum is σ = 188451214848. Its totient is φ = 82296345600.

The previous prime is 132321131029. The next prime is 132321131039. The reversal of 132321131031 is 130131123231.

It is a happy number.

It is not a de Polignac number, because 132321131031 - 21 = 132321131029 is a prime.

It is a super-2 number, since 2×1323211310312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132321130989 and 132321131007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132321131039) 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, 3577971 + ... + 3614763.

It is an arithmetic number, because the mean of its divisors is an integer number (5889100464).

Almost surely, 2132321131031 is an apocalyptic number.

132321131031 is a deficient number, since it is larger than the sum of its proper divisors (56130083817).

132321131031 is a wasteful number, since it uses less digits than its factorization.

132321131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37431.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 132321131031 its reverse (130131123231), we get a palindrome (262452254262).

The spelling of 132321131031 in words is "one hundred thirty-two billion, three hundred twenty-one million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 17 51 151 453 467 1401 2567 7701 7939 23817 36793 70517 110379 211551 625481 1198789 1876443 3596367 5555743 16667229 17182331 51546993 94447631 283342893 292099627 876298881 2594531981 7783595943 44107043677 132321131031