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12300210312 = 2331361646291
BaseRepresentation
bin10110111010010011…
…00101000010001000
31011202020000102110220
423131021211002020
5200142323212222
65352312110040
7613545030315
oct133511450210
934666012426
1012300210312
11524216a075
122473395320
131210407270
14849847d0c
154becc1b5c
hex2dd265088

12300210312 has 64 divisors (see below), whose sum is σ = 33658887360. Its totient is φ = 3722630400.

The previous prime is 12300210283. The next prime is 12300210313. The reversal of 12300210312 is 21301200321.

It is a super-2 number, since 2×123002103122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12300210291 and 12300210300.

It is not an unprimeable number, because it can be changed into a prime (12300210313) 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, 304114 + ... + 342177.

It is an arithmetic number, because the mean of its divisors is an integer number (525920115).

Almost surely, 212300210312 is an apocalyptic number.

12300210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300210312 is an abundant number, since it is smaller than the sum of its proper divisors (21358677048).

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

12300210312 is a wasteful number, since it uses less digits than its factorization.

12300210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646374 (or 646370 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12300210312 its reverse (21301200321), we get a palindrome (33601410633).

Subtracting 12300210312 from its reverse (21301200321), we obtain a palindrome (9000990009).

The spelling of 12300210312 in words is "twelve billion, three hundred million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 9516 19032 646291 1292582 1938873 2585164 3877746 5170328 7755492 8401783 15510984 16803566 25205349 33607132 39423751 50410698 67214264 78847502 100821396 118271253 157695004 201642792 236542506 315390008 473085012 512508763 946170024 1025017526 1537526289 2050035052 3075052578 4100070104 6150105156 12300210312