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132013101 = 31122317939
BaseRepresentation
bin1111101111001…
…01110000101101
3100012101221221010
413313211300231
5232243404401
621033255433
73162043563
oct767456055
9305357833
10132013101
1168577440
1238264579
1321471b7c
1413765a33
15b8c9ed6
hex7de5c2d

132013101 has 16 divisors (see below), whose sum is σ = 192890880. Its totient is φ = 79644720.

The previous prime is 132013099. The next prime is 132013103. The reversal of 132013101 is 101310231.

It is an interprime number because it is at equal distance from previous prime (132013099) and next prime (132013103).

It is not a de Polignac number, because 132013101 - 21 = 132013099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132013103) 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 15 ways as a sum of consecutive naturals, for example, 1611 + ... + 16328.

It is an arithmetic number, because the mean of its divisors is an integer number (12055680).

Almost surely, 2132013101 is an apocalyptic number.

132013101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132013101 is a deficient number, since it is larger than the sum of its proper divisors (60877779).

132013101 is a wasteful number, since it uses less digits than its factorization.

132013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18176.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 132013101 is about 11489.6954267726. The cubic root of 132013101 is about 509.1811812622.

Adding to 132013101 its reverse (101310231), we get a palindrome (233323332).

The spelling of 132013101 in words is "one hundred thirty-two million, thirteen thousand, one hundred one".

Divisors: 1 3 11 33 223 669 2453 7359 17939 53817 197329 591987 4000397 12001191 44004367 132013101