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10311331131312 = 2431999920311677
BaseRepresentation
bin1001011000001100101100…
…1110101010111110110000
31100111202100101200101120120
42112003023032222332300
52322420101232200222
633532543215410240
72112653253322131
oct226031316527660
940452311611516
1010311331131312
113316013675a52
1211a64a3b23980
1359a47b68c453
142790dd0d9c88
1512d34c29e15c
hex960cb3aafb0

10311331131312 has 80 divisors (see below), whose sum is σ = 26656109376000. Its totient is φ = 3434723502336.

The previous prime is 10311331131301. The next prime is 10311331131323. The reversal of 10311331131312 is 21313113311301.

10311331131312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10311331131301) and next prime (10311331131323).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883040418 + ... + 883052094.

It is an arithmetic number, because the mean of its divisors is an integer number (333201367200).

Almost surely, 210311331131312 is an apocalyptic number.

10311331131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10311331131312 is an abundant number, since it is smaller than the sum of its proper divisors (16344778244688).

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

10311331131312 is a wasteful number, since it uses less digits than its factorization.

10311331131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22890 (or 22884 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 10311331131312 its reverse (21313113311301), we get a palindrome (31624444442613).

The spelling of 10311331131312 in words is "ten trillion, three hundred eleven billion, three hundred thirty-one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1999 3998 5997 7996 9203 11677 11994 15992 18406 23354 23988 27609 31984 35031 36812 46708 47976 55218 70062 73624 93416 95952 110436 140124 147248 186832 220872 280248 441744 560496 18396797 23342323 36793594 46684646 55190391 70026969 73587188 93369292 107463431 110380782 140053938 147174376 186738584 214926862 220761564 280107876 294348752 322390293 373477168 429853724 441523128 560215752 644780586 859707448 883046256 1120431504 1289561172 1719414896 2579122344 5158244688 214819398569 429638797138 644458195707 859277594276 1288916391414 1718555188552 2577832782828 3437110377104 5155665565656 10311331131312