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310013302221 = 32723213949829
BaseRepresentation
bin1001000001011100011…
…10111001010111001101
31002122012100201111002100
410200232032321113031
520034401401132341
6354230152545313
731253263406310
oct4405616712715
91078170644070
10310013302221
1110a526477487
12500ba9b2239
13233074c59cc
141100cd68977
1580e67e83b6
hex482e3b95cd

310013302221 has 24 divisors (see below), whose sum is σ = 534018775680. Its totient is φ = 169448263776.

The previous prime is 310013302213. The next prime is 310013302223. The reversal of 310013302221 is 122203310013.

310013302221 is a `hidden beast` number, since 310 + 0 + 1 + 330 + 2 + 2 + 21 = 666.

310013302221 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 310013302221 - 23 = 310013302213 is a prime.

It is a super-2 number, since 2×3100133022212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310013302194 and 310013302203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310013302223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106973466 + ... + 106976363.

It is an arithmetic number, because the mean of its divisors is an integer number (22250782320).

Almost surely, 2310013302221 is an apocalyptic number.

It is an amenable number.

310013302221 is a deficient number, since it is larger than the sum of its proper divisors (224005473459).

310013302221 is a wasteful number, since it uses less digits than its factorization.

310013302221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213949865 (or 213949862 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 310013302221 its reverse (122203310013), we get a palindrome (432216612234).

The spelling of 310013302221 in words is "three hundred ten billion, thirteen million, three hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 213949829 641849487 1497648803 1925548461 4492946409 4920846067 13478839227 14762538201 34445922469 44287614603 103337767407 310013302221