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10000312310120 = 2351133076872689
BaseRepresentation
bin1001000110000110000100…
…0100000001100101101000
31022102000112221220020202212
42101201201010001211220
52302321114422410440
633134025142544252
72051333030054366
oct221414104014550
938360487806685
1010000312310120
113206121656260
121156164438088
13577043a76502
142680367c8636
151251e7584465
hex91861101968

10000312310120 has 64 divisors (see below), whose sum is σ = 24553647201600. Its totient is φ = 3635377044480.

The previous prime is 10000312310113. The next prime is 10000312310129. The reversal of 10000312310120 is 2101321300001.

It is a super-2 number, since 2×100003123101202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000312310095 and 10000312310104.

It is not an unprimeable number, because it can be changed into a prime (10000312310129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981265 + ... + 4891424.

It is an arithmetic number, because the mean of its divisors is an integer number (383650737525).

Almost surely, 210000312310120 is an apocalyptic number.

10000312310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000312310120 is an abundant number, since it is smaller than the sum of its proper divisors (14553334891480).

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

10000312310120 is a wasteful number, since it uses less digits than its factorization.

10000312310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876018 (or 6876014 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10000312310120 its reverse (2101321300001), we get a palindrome (12101633610121).

The spelling of 10000312310120 in words is "ten trillion, three hundred twelve million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 3307 6614 13228 16535 26456 33070 36377 66140 72754 132280 145508 181885 291016 363770 727540 1455080 6872689 13745378 27490756 34363445 54981512 68726890 75599579 137453780 151199158 274907560 302398316 377997895 604796632 755995790 1511991580 3023983160 22727982523 45455965046 90911930092 113639912615 181823860184 227279825230 250007807753 454559650460 500015615506 909119300920 1000031231012 1250039038765 2000062462024 2500078077530 5000156155060 10000312310120