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310013121321 = 32157921815011
BaseRepresentation
bin1001000001011100011…
…10001101001100101001
31002122012100101021221100
410200232032031030221
520034401324340241
6354230145032013
731253262024021
oct4405616151451
91078170337840
10310013121321
1110a526363582
12500ba925609
1323307461577
141100cd1ca81
1580e67ae9b6
hex482e38d329

310013121321 has 12 divisors (see below), whose sum is σ = 448080346480. Its totient is φ = 206544514680.

The previous prime is 310013121283. The next prime is 310013121323. The reversal of 310013121321 is 123121310013.

310013121321 is a `hidden beast` number, since 31 + 0 + 0 + 1 + 312 + 1 + 321 = 666.

It is not a de Polignac number, because 310013121321 - 27 = 310013121193 is a prime.

It is a super-2 number, since 2×3100131213212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 310013121294 and 310013121303.

It is not an unprimeable number, because it can be changed into a prime (310013121323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10893295 + ... + 10921716.

Almost surely, 2310013121321 is an apocalyptic number.

It is an amenable number.

310013121321 is a deficient number, since it is larger than the sum of its proper divisors (138067225159).

310013121321 is a wasteful number, since it uses less digits than its factorization.

310013121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21816596 (or 21816593 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 310013121321 its reverse (123121310013), we get a palindrome (433134431334).

The spelling of 310013121321 in words is "three hundred ten billion, thirteen million, one hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 1579 4737 14211 21815011 65445033 196335099 34445902369 103337707107 310013121321