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132613119 = 3760637
BaseRepresentation
bin1111110011110…
…00001111111111
3100020112110000000
413321320033333
5232422104434
621054205343
73200123112
oct771701777
9306473000
10132613119
1168947221
12384b3853
1321622002
1413880579
15b997b99
hex7e783ff

132613119 has 16 divisors (see below), whose sum is σ = 198892640. Its totient is φ = 88407288.

The previous prime is 132613109. The next prime is 132613121. The reversal of 132613119 is 911316231.

132613119 is a `hidden beast` number, since 1 + 32 + 613 + 1 + 19 = 666.

It is not a de Polignac number, because 132613119 - 221 = 130515967 is a prime.

It is a super-2 number, since 2×1326131192 = 35172478661816322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 132613092 and 132613101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132613109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28132 + ... + 32505.

It is an arithmetic number, because the mean of its divisors is an integer number (12430790).

Almost surely, 2132613119 is an apocalyptic number.

132613119 is a deficient number, since it is larger than the sum of its proper divisors (66279521).

132613119 is an frugal number, since it uses more digits than its factorization.

132613119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60658 (or 60640 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 132613119 is about 11515.7769603271. The cubic root of 132613119 is about 509.9514486653.

The spelling of 132613119 in words is "one hundred thirty-two million, six hundred thirteen thousand, one hundred nineteen".

Divisors: 1 3 9 27 81 243 729 2187 60637 181911 545733 1637199 4911597 14734791 44204373 132613119