Search a number
-
+
131010201131233 = 2011224921289643
BaseRepresentation
bin11101110010011100110000…
…100000000001100011100001
3122011212110020011122212120011
4131302130300200001203201
5114132432342442144413
61142345131110044521
736411113625511054
oct3562346040014341
9564773204585504
10131010201131233
1138820129122a96
121283a7a3349741
135814294100348
14244ccdb362a9b
151022d2169c33d
hex7727308018e1

131010201131233 has 8 divisors (see below), whose sum is σ = 131076383229216. Its totient is φ = 130944020066400.

The previous prime is 131010201131219. The next prime is 131010201131239. The reversal of 131010201131233 is 332131102010131.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131010201131233 is a prime.

It is a super-2 number, since 2×1310102011312332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131010201131239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452171310 + ... + 452460952.

It is an arithmetic number, because the mean of its divisors is an integer number (16384547903652).

Almost surely, 2131010201131233 is an apocalyptic number.

It is an amenable number.

131010201131233 is a deficient number, since it is larger than the sum of its proper divisors (66182097983).

131010201131233 is a wasteful number, since it uses less digits than its factorization.

131010201131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516575.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 131010201131233 its reverse (332131102010131), we get a palindrome (463141303141364).

The spelling of 131010201131233 in words is "one hundred thirty-one trillion, ten billion, two hundred one million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 2011 224921 289643 452316131 582472073 65146793203 131010201131233