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10312414230 = 2352233314657
BaseRepresentation
bin10011001101010101…
…01111010000010110
3222121200121220212210
421212222233100112
5132104434223410
64423142454250
7513360034416
oct114652572026
928550556783
1010312414230
1144120a8498
121bb9734386
13c84643971
146db848646
15405520220
hex266aaf416

10312414230 has 64 divisors (see below), whose sum is σ = 24941242368. Its totient is φ = 2728788480.

The previous prime is 10312414207. The next prime is 10312414249. The reversal of 10312414230 is 3241421301.

10312414230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103124142302 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10312414197 and 10312414206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2212062 + ... + 2216718.

It is an arithmetic number, because the mean of its divisors is an integer number (389706912).

Almost surely, 210312414230 is an apocalyptic number.

10312414230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10312414230 is an abundant number, since it is smaller than the sum of its proper divisors (14628828138).

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

10312414230 is a wasteful number, since it uses less digits than its factorization.

10312414230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10312414230 its reverse (3241421301), we get a palindrome (13553835531).

The spelling of 10312414230 in words is "ten billion, three hundred twelve million, four hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 223 331 446 662 669 993 1115 1338 1655 1986 2230 3310 3345 4657 4965 6690 9314 9930 13971 23285 27942 46570 69855 73813 139710 147626 221439 369065 442878 738130 1038511 1107195 1541467 2077022 2214390 3082934 3115533 4624401 5192555 6231066 7707335 9248802 10385110 15414670 15577665 23122005 31155330 46244010 343747141 687494282 1031241423 1718735705 2062482846 3437471410 5156207115 10312414230