Search a number
-
+
12313020003312 = 243797693751243
BaseRepresentation
bin1011001100101101100100…
…1011101111001111110000
31121121010001112102211101110
42303023121023233033300
53103214031110101222
642104305011033320
72410405054104240
oct263133113571760
947533045384343
1012313020003312
113a17a16879316
12146a41959b840
136b4160aa4c62
14307d4bdb5b20
1516545368330c
hexb32d92ef3f0

12313020003312 has 80 divisors (see below), whose sum is σ = 36356456648960. Its totient is φ = 3517644658176.

The previous prime is 12313020003311. The next prime is 12313020003313. The reversal of 12313020003312 is 21330002031321.

It is an interprime number because it is at equal distance from previous prime (12313020003311) and next prime (12313020003313).

It is a super-2 number, since 2×123130200033122 (a number of 27 digits) contains 22 as substring.

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 (12313020003311) 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, 1406763 + ... + 5158005.

It is an arithmetic number, because the mean of its divisors is an integer number (454455708112).

Almost surely, 212313020003312 is an apocalyptic number.

12313020003312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12313020003312 is an abundant number, since it is smaller than the sum of its proper divisors (24043436645648).

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

12313020003312 is a wasteful number, since it uses less digits than its factorization.

12313020003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761030 (or 3761024 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12313020003312 its reverse (21330002031321), we get a palindrome (33643022034633).

The spelling of 12313020003312 in words is "twelve trillion, three hundred thirteen billion, twenty million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 9769 19538 29307 39076 58614 68383 78152 117228 136766 156304 205149 234456 273532 410298 468912 547064 820596 1094128 1641192 3282384 3751243 7502486 11253729 15004972 22507458 26258701 30009944 45014916 52517402 60019888 78776103 90029832 105034804 157552206 180059664 210069608 315104412 420139216 630208824 1260417648 36645892867 73291785734 109937678601 146583571468 219875357202 256521250069 293167142936 439750714404 513042500138 586334285872 769563750207 879501428808 1026085000276 1539127500414 1759002857616 2052170000552 3078255000828 4104340001104 6156510001656 12313020003312