Search a number
-
+
123132031 = 1131361091
BaseRepresentation
bin1110101011011…
…01100001111111
322120200202101121
413111231201333
5223010211111
620115051411
73023414341
oct725554177
9276622347
10123132031
1163560a10
12352a0b67
131c6826b9
14124d3291
15ac23871
hex756d87f

123132031 has 8 divisors (see below), whose sum is σ = 138659328. Its totient is φ = 108327000.

The previous prime is 123132019. The next prime is 123132047. The reversal of 123132031 is 130231321.

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 123132031 - 213 = 123123839 is a prime.

It is a super-2 number, since 2×1231320312 = 30322994116369922, 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 = 123131996 and 123132014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180205 + ... + 180886.

It is an arithmetic number, because the mean of its divisors is an integer number (17332416).

Almost surely, 2123132031 is an apocalyptic number.

123132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123132031 is the 4963-rd centered decagonal number.

123132031 is a deficient number, since it is larger than the sum of its proper divisors (15527297).

123132031 is a wasteful number, since it uses less digits than its factorization.

123132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361133.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 123132031 is about 11096.4873270779. The cubic root of 123132031 is about 497.4968642008.

Adding to 123132031 its reverse (130231321), we get a palindrome (253363352).

The spelling of 123132031 in words is "one hundred twenty-three million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 11 31 341 361091 3972001 11193821 123132031