Search a number
-
+
131101027 = 373799349
BaseRepresentation
bin1111101000001…
…11000101100011
3100010200121210121
413310013011203
5232030213102
621001541111
73151224511
oct764070543
9303617717
10131101027
1168004162
1237aa4797
1321212995
14135a94b1
15b799b37
hex7d07163

131101027 has 8 divisors (see below), whose sum is σ = 135014000. Its totient is φ = 127207584.

The previous prime is 131101021. The next prime is 131101037. The reversal of 131101027 is 720101131.

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

It is a 6-Lehmer number, since φ(131101027) divides (131101027-1)6.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131101027 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131101027.

It is not an unprimeable number, because it can be changed into a prime (131101021) 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, 9349 + ... + 18697.

It is an arithmetic number, because the mean of its divisors is an integer number (16876750).

Almost surely, 2131101027 is an apocalyptic number.

131101027 is the 9349-th pentagonal number.

131101027 is a deficient number, since it is larger than the sum of its proper divisors (3912973).

131101027 is an equidigital number, since it uses as much as digits as its factorization.

131101027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9765.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 131101027 is about 11449.9356766752. The cubic root of 131101027 is about 508.0058318197.

Adding to 131101027 its reverse (720101131), we get a palindrome (851202158).

The spelling of 131101027 in words is "one hundred thirty-one million, one hundred one thousand, twenty-seven".

Divisors: 1 37 379 9349 14023 345913 3543271 131101027