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10302030312 = 2337412715519
BaseRepresentation
bin10011001100000110…
…01000000111101000
3222120222002100211020
421212003020013220
5132044304432222
64422132132440
7513202545540
oct114603100750
928528070736
1010302030312
114407255942
121bb6167120
13c82449432
146da304320
1540466d65c
hex2660c81e8

10302030312 has 128 divisors (see below), whose sum is σ = 30269030400. Its totient is φ = 2860531200.

The previous prime is 10302030293. The next prime is 10302030341. The reversal of 10302030312 is 21303020301.

It is a super-2 number, since 2×103020303122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10302030291 and 10302030300.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1863889 + ... + 1869407.

It is an arithmetic number, because the mean of its divisors is an integer number (236476800).

Almost surely, 210302030312 is an apocalyptic number.

10302030312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10302030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134515200).

10302030312 is an abundant number, since it is smaller than the sum of its proper divisors (19967000088).

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

10302030312 is a wasteful number, since it uses less digits than its factorization.

10302030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10302030312 its reverse (21303020301), we get a palindrome (31605050613).

The spelling of 10302030312 in words is "ten billion, three hundred two million, thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 271 287 328 492 542 574 813 861 984 1084 1148 1626 1722 1897 2168 2296 3252 3444 3794 5519 5691 6504 6888 7588 11038 11111 11382 15176 16557 22076 22222 22764 33114 33333 38633 44152 44444 45528 66228 66666 77266 77777 88888 115899 132456 133332 154532 155554 226279 231798 233331 266664 309064 311108 452558 463596 466662 622216 678837 905116 927192 933324 1357674 1495649 1583953 1810232 1866648 2715348 2991298 3167906 4486947 4751859 5430696 5982596 6335812 8973894 9503718 10469543 11965192 12671624 17947788 19007436 20939086 31408629 35895576 38014872 41878172 61321609 62817258 83756344 122643218 125634516 183964827 245286436 251269032 367929654 429251263 490572872 735859308 858502526 1287753789 1471718616 1717005052 2575507578 3434010104 5151015156 10302030312