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310013011221 = 33727122134657
BaseRepresentation
bin1001000001011100011…
…01110010010100010101
31002122012100011200220120
410200232031302110111
520034401312324341
6354230142422153
731253261055024
oct4405615622425
91078170150816
10310013011221
1110a526298891
12500ba891959
1323307423414
141100ccd08bb
1580e678c066
hex482e372515

310013011221 has 32 divisors (see below), whose sum is σ = 426372899328. Its totient is φ = 200213959680.

The previous prime is 310013011193. The next prime is 310013011277. The reversal of 310013011221 is 122110310013.

It is a happy number.

It is not a de Polignac number, because 310013011221 - 213 = 310013003029 is a prime.

It is a super-2 number, since 2×3100130112212 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 310013011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310013011921) 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 31 ways as a sum of consecutive naturals, for example, 66566925 + ... + 66571581.

It is an arithmetic number, because the mean of its divisors is an integer number (13324153104).

Almost surely, 2310013011221 is an apocalyptic number.

It is an amenable number.

310013011221 is a deficient number, since it is larger than the sum of its proper divisors (116359888107).

310013011221 is a wasteful number, since it uses less digits than its factorization.

310013011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7181.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 310013011221 its reverse (122110310013), we get a palindrome (432123321234).

The spelling of 310013011221 in words is "three hundred ten billion, thirteen million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 37 111 271 813 2213 4657 6639 10027 13971 30081 81881 172309 245643 516927 599723 1262047 1799169 3786141 10305941 22189751 30917823 46695739 66569253 140087217 381319817 1143959451 2792910011 8378730033 103337670407 310013011221