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10314121332 = 22337149915497
BaseRepresentation
bin10011001101100010…
…10000000001110100
3222121210211122120210
421212301100001310
5132110403340312
64423243225420
7513410404404
oct114661200164
928553748523
1010314121332
114413064019
121bba218270
13c84ac0998
146dbb70804
1540575ae3c
hex266c50074

10314121332 has 48 divisors (see below), whose sum is σ = 24734808000. Its totient is φ = 3342673152.

The previous prime is 10314121331. The next prime is 10314121343. The reversal of 10314121332 is 23312141301.

It is a junction number, because it is equal to n+sod(n) for n = 10314121299 and 10314121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314121331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657808 + ... + 673304.

It is an arithmetic number, because the mean of its divisors is an integer number (515308500).

Almost surely, 210314121332 is an apocalyptic number.

10314121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10314121332 is an abundant number, since it is smaller than the sum of its proper divisors (14420686668).

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

10314121332 is a wasteful number, since it uses less digits than its factorization.

10314121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17040 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10314121332 its reverse (23312141301), we get a palindrome (33626262633).

The spelling of 10314121332 in words is "ten billion, three hundred fourteen million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 1499 2998 4497 5996 8994 15497 17988 30994 46491 55463 61988 92982 110926 166389 185964 221852 332778 573389 665556 1146778 1720167 2293556 3440334 6880668 23230003 46460006 69690009 92920012 139380018 278760036 859510111 1719020222 2578530333 3438040444 5157060666 10314121332