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3120310010424 = 2331726183292091
BaseRepresentation
bin101101011010000000111…
…110000100001000111000
3102001022001202210001022010
4231122000332010020320
5402110343330313144
610345241200325520
7441302122321005
oct55320076041070
912038052701263
103120310010424
11aa3352722262
124248a16138a0
1319832300b599
14ab04949a8ac
1556276a345b9
hex2d680f84238

3120310010424 has 64 divisors (see below), whose sum is σ = 8259987882240. Its totient is φ = 978880048640.

The previous prime is 3120310010401. The next prime is 3120310010443. The reversal of 3120310010424 is 4240100130213.

It is a super-3 number, since 3×31203100104243 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3120310010424.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10536619 + ... + 10828709.

It is an arithmetic number, because the mean of its divisors is an integer number (129062310660).

Almost surely, 23120310010424 is an apocalyptic number.

3120310010424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3120310010424 is an abundant number, since it is smaller than the sum of its proper divisors (5139677871816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3120310010424 is a wasteful number, since it uses less digits than its factorization.

3120310010424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318300 (or 318296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 3120310010424 its reverse (4240100130213), we get a palindrome (7360410140637).

The spelling of 3120310010424 in words is "three trillion, one hundred twenty billion, three hundred ten million, ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 26183 52366 78549 104732 157098 209464 292091 314196 445111 584182 628392 876273 890222 1168364 1335333 1752546 1780444 2336728 2670666 3505092 3560888 4965547 5341332 7010184 9931094 10682664 14896641 19862188 29793282 39724376 59586564 119173128 7647818653 15295637306 22943455959 30591274612 45886911918 61182549224 91773823836 130012917101 183547647672 260025834202 390038751303 520051668404 780077502606 1040103336808 1560155005212 3120310010424