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313001132021233 = 2391750077261337
BaseRepresentation
bin100011100101011000100000…
…1010010011101010111110001
31112001020121122001112202022221
41013022301001102131113301
5312011202304244134413
63025410422432001041
7122633404560332065
oct10712610122352761
91461217561482287
10313001132021233
1190806042115557
122b131871990181
1310585b59772b86
14574149ad33aa5
15262bd275a468d
hex11cac4149d5f1

313001132021233 has 8 divisors (see below), whose sum is σ = 313021667418152. Its totient is φ = 312980597294976.

The previous prime is 313001132021219. The next prime is 313001132021287. The reversal of 313001132021233 is 332120231100313.

It can be written as a sum of positive squares in 4 ways, for example, as 45428516644624 + 267572615376609 = 6740068^2 + 16357647^2 .

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 313001132021233 - 225 = 313001098466801 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313001132021198 and 313001132021207.

It is not an unprimeable number, because it can be changed into a prime (313001132025233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197560941 + ... + 1197822277.

It is an arithmetic number, because the mean of its divisors is an integer number (39127708427269).

Almost surely, 2313001132021233 is an apocalyptic number.

It is an amenable number.

313001132021233 is a deficient number, since it is larger than the sum of its proper divisors (20535396919).

313001132021233 is a wasteful number, since it uses less digits than its factorization.

313001132021233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335331.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 313001132021233 its reverse (332120231100313), we get a palindrome (645121363121546).

The spelling of 313001132021233 in words is "three hundred thirteen trillion, one billion, one hundred thirty-two million, twenty-one thousand, two hundred thirty-three".

Divisors: 1 23917 50077 261337 1197691609 6250397029 13086972949 313001132021233