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13120103112312 = 2337260929933251
BaseRepresentation
bin1011111011101100001100…
…0101011101111001111000
31201110021021112200210021110
42332323003011131321320
53204424432344043222
643523143035040320
72522616246250650
oct276730305357170
951407245623243
1013120103112312
1141a92281916a9
12157a91bba00a0
137422b3335a91
14335032d2d360
1517b43d70930c
hexbeec315de78

13120103112312 has 64 divisors (see below), whose sum is σ = 37500378105600. Its totient is φ = 3747163968000.

The previous prime is 13120103112299. The next prime is 13120103112317. The reversal of 13120103112312 is 21321130102131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120103112317) 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, 14528314 + ... + 15404937.

It is an arithmetic number, because the mean of its divisors is an integer number (585943407900).

Almost surely, 213120103112312 is an apocalyptic number.

13120103112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13120103112312 is an abundant number, since it is smaller than the sum of its proper divisors (24380274993288).

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

13120103112312 is a wasteful number, since it uses less digits than its factorization.

13120103112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29935876 (or 29935872 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13120103112312 its reverse (21321130102131), we get a palindrome (34441233214443).

The spelling of 13120103112312 in words is "thirteen trillion, one hundred twenty billion, one hundred three million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2609 5218 7827 10436 15654 18263 20872 31308 36526 54789 62616 73052 109578 146104 219156 438312 29933251 59866502 89799753 119733004 179599506 209532757 239466008 359199012 419065514 628598271 718398024 838131028 1257196542 1676262056 2514393084 5028786168 78095851859 156191703718 234287555577 312383407436 468575111154 546670963013 624766814872 937150222308 1093341926026 1640012889039 1874300444616 2186683852052 3280025778078 4373367704104 6560051556156 13120103112312