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132131417 = 1114598233
BaseRepresentation
bin1111110000000…
…10101001011001
3100012121222020012
413320002221121
5232311201132
621040011305
73163045535
oct770025131
9305558205
10132131417
1168648320
1238300b35
13214b3992
1413796bc5
15b9000b2
hex7e02a59

132131417 has 8 divisors (see below), whose sum is σ = 144259680. Its totient is φ = 120022560.

The previous prime is 132131407. The next prime is 132131443. The reversal of 132131417 is 714131231.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132131417 - 24 = 132131401 is a prime.

It is a super-2 number, since 2×1321314172 = 34917422716855778, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132131392 and 132131401.

It is not an unprimeable number, because it can be changed into a prime (132131407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11933 + ... + 20165.

It is an arithmetic number, because the mean of its divisors is an integer number (18032460).

Almost surely, 2132131417 is an apocalyptic number.

It is an amenable number.

132131417 is a deficient number, since it is larger than the sum of its proper divisors (12128263).

132131417 is a wasteful number, since it uses less digits than its factorization.

132131417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703.

The product of its digits is 504, while the sum is 23.

The square root of 132131417 is about 11494.8430611296. The cubic root of 132131417 is about 509.3332527644. Note that the first 3 decimals are identical.

Adding to 132131417 its reverse (714131231), we get a palindrome (846262648).

The spelling of 132131417 in words is "one hundred thirty-two million, one hundred thirty-one thousand, four hundred seventeen".

Divisors: 1 11 1459 8233 16049 90563 12011947 132131417