Search a number
-
+
131435075073 = 3474783194891
BaseRepresentation
bin111101001101000100…
…1000001011000000001
3110120020221021121112110
41322122021001120001
54123134334400243
6140214101445533
712332040463461
oct1723211013001
9416227247473
10131435075073
1150817745295
12215814108a9
13c5182b4293
14650bd0bba1
153643d35e33
hex1e9a241601

131435075073 has 16 divisors (see below), whose sum is σ = 179013758976. Its totient is φ = 85740686160.

The previous prime is 131435075027. The next prime is 131435075087. The reversal of 131435075073 is 370570534131.

It is a happy number.

It is not a de Polignac number, because 131435075073 - 28 = 131435074817 is a prime.

It is a super-3 number, since 3×1314350750733 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131435075003) 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, 576958 + ... + 771848.

It is an arithmetic number, because the mean of its divisors is an integer number (11188359936).

Almost surely, 2131435075073 is an apocalyptic number.

It is an amenable number.

131435075073 is a deficient number, since it is larger than the sum of its proper divisors (47578683903).

131435075073 is a wasteful number, since it uses less digits than its factorization.

131435075073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199724.

The product of its (nonzero) digits is 132300, while the sum is 39.

The spelling of 131435075073 in words is "one hundred thirty-one billion, four hundred thirty-five million, seventy-five thousand, seventy-three".

Divisors: 1 3 47 141 4783 14349 194891 224801 584673 674403 9159877 27479631 932163653 2796490959 43811691691 131435075073