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132131310101 = 72191032113751
BaseRepresentation
bin111101100001110100…
…0111100101000010101
3110122001110101000102222
41323003220330220111
54131101103410401
6140411132312125
712355223414300
oct1730350745025
9418043330388
10132131310101
1151044752a3a
1221736612645
13c5c9605a7b
146576585b37
153685012c1b
hex1ec3a3ca15

132131310101 has 24 divisors (see below), whose sum is σ = 161820884160. Its totient is φ = 107276400000.

The previous prime is 132131310097. The next prime is 132131310107. The reversal of 132131310101 is 101013131231.

It is not a de Polignac number, because 132131310101 - 22 = 132131310097 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132131310101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131310107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9601976 + ... + 9615726.

It is an arithmetic number, because the mean of its divisors is an integer number (6742536840).

Almost surely, 2132131310101 is an apocalyptic number.

It is an amenable number.

132131310101 is a deficient number, since it is larger than the sum of its proper divisors (29689574059).

132131310101 is a wasteful number, since it uses less digits than its factorization.

132131310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24105 (or 24098 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 132131310101 its reverse (101013131231), we get a palindrome (233144441332).

The spelling of 132131310101 in words is "one hundred thirty-two billion, one hundred thirty-one million, three hundred ten thousand, one hundred one".

Divisors: 1 7 19 49 133 931 10321 13751 72247 96257 196099 261269 505729 673799 1372693 1828883 9608851 12802181 141924071 993468497 2696557349 6954279479 18875901443 132131310101