Search a number
-
+
131001130233 = 3228151799577
BaseRepresentation
bin111101000000001000…
…1101001110011111001
3110112010200201221010100
41322000101221303321
54121242242131413
6140103040510013
712315221143251
oct1720021516371
9415120657110
10131001130233
11506147a5096
122148001b309
13c47941929c
1464aa42c961
15361abb9a73
hex1e80469cf9

131001130233 has 12 divisors (see below), whose sum is σ = 189897252948. Its totient is φ = 87023287680.

The previous prime is 131001130187. The next prime is 131001130261. The reversal of 131001130233 is 332031100131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 117953094249 + 13048035984 = 343443^2 + 114228^2 .

It is not a de Polignac number, because 131001130233 - 225 = 130967575801 is a prime.

It is a super-3 number, since 3×1310011302333 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (131001130283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25897260 + ... + 25902317.

It is an arithmetic number, because the mean of its divisors is an integer number (15824771079).

Almost surely, 2131001130233 is an apocalyptic number.

It is an amenable number.

131001130233 is a deficient number, since it is larger than the sum of its proper divisors (58896122715).

131001130233 is a wasteful number, since it uses less digits than its factorization.

131001130233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51799864 (or 51799861 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131001130233 its reverse (332031100131), we get a palindrome (463032230364).

The spelling of 131001130233 in words is "one hundred thirty-one billion, one million, one hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 281 843 2529 51799577 155398731 466196193 14555681137 43667043411 131001130233