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132111310331 = 71121311998121
BaseRepresentation
bin111101100001001110…
…0101001110111111011
3110122000001201220220202
41323002130221313323
54131030443412311
6140405135512415
712354561416030
oct1730234516773
9418001656822
10132111310331
1151034432900
122172b98870b
13c5c54227a0
146573a5b387
1536833b1e3b
hex1ec2729dfb

132111310331 has 24 divisors (see below), whose sum is σ = 178724025312. Its totient is φ = 95025110400.

The previous prime is 132111310319. The next prime is 132111310337. The reversal of 132111310331 is 133013111231.

It is not a de Polignac number, because 132111310331 - 210 = 132111309307 is a prime.

It is a super-2 number, since 2×1321113103312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132111310337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5988050 + ... + 6010071.

It is an arithmetic number, because the mean of its divisors is an integer number (7446834388).

Almost surely, 2132111310331 is an apocalyptic number.

132111310331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132111310331 is a deficient number, since it is larger than the sum of its proper divisors (46612714981).

132111310331 is a wasteful number, since it uses less digits than its factorization.

132111310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11998163 (or 11998152 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 132111310331 its reverse (133013111231), we get a palindrome (265124421562).

Subtracting 132111310331 from its reverse (133013111231), we obtain a square (901800900 = 300302).

The spelling of 132111310331 in words is "one hundred thirty-two billion, one hundred eleven million, three hundred ten thousand, three hundred thirty-one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 11998121 83986847 131979331 155975573 923855317 1091829011 1451772641 1715731303 10162408487 12010119121 18873044333 132111310331