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10301200312 = 2313249915269
BaseRepresentation
bin10011001011111111…
…11101011110111000
3222120220112012021111
421211333331132320
5132044101402222
64422102250104
7513162520654
oct114577753670
928526465244
1010301200312
114406839297
121bb5a26934
13c82218700
146da169a64
15404557777
hex265ffd7b8

10301200312 has 48 divisors (see below), whose sum is σ = 20958075000. Its totient is φ = 4744561536.

The previous prime is 10301200297. The next prime is 10301200321. The reversal of 10301200312 is 21300210301.

It is a super-3 number, since 3×103012003123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10301200292 and 10301200301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667014 + ... + 682282.

Almost surely, 210301200312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10479037500).

10301200312 is an abundant number, since it is smaller than the sum of its proper divisors (10656874688).

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

10301200312 is a wasteful number, since it uses less digits than its factorization.

10301200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15800 (or 15783 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10301200312 its reverse (21300210301), we get a palindrome (31601410613).

The spelling of 10301200312 in words is "ten billion, three hundred one million, two hundred thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 499 676 998 1352 1996 3992 6487 12974 15269 25948 30538 51896 61076 84331 122152 168662 198497 337324 396994 674648 793988 1587976 2580461 5160922 7619231 10321844 15238462 20643688 30476924 60953848 99050003 198100006 396200012 792400024 1287650039 2575300078 5150600156 10301200312