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30310011312 = 2437432299161
BaseRepresentation
bin11100001110100111…
…100001000110110000
32220020100122002221120
4130032213201012300
5444033330330222
621531344422240
72122052562630
oct341647410660
986210562846
1030310011312
1111944236129
125a5a917980
132b20689949
1416776a66c0
15bc5e6415c
hex70e9e11b0

30310011312 has 160 divisors (see below), whose sum is σ = 91977684480. Its totient is φ = 8420751360.

The previous prime is 30310011311. The next prime is 30310011323. The reversal of 30310011312 is 21311001303.

It is a super-2 number, since 2×303100113122 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30310011291 and 30310011300.

It is not an unprimeable number, because it can be changed into a prime (30310011311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3304012 + ... + 3313172.

It is an arithmetic number, because the mean of its divisors is an integer number (574860528).

Almost surely, 230310011312 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 30310011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45988842240).

30310011312 is an abundant number, since it is smaller than the sum of its proper divisors (61667673168).

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

30310011312 is a wasteful number, since it uses less digits than its factorization.

30310011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9451 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 30310011312 its reverse (21311001303), we get a palindrome (51621012615).

The spelling of 30310011312 in words is "thirty billion, three hundred ten million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 229 258 301 336 344 458 516 602 687 688 903 916 1032 1204 1374 1603 1806 1832 2064 2408 2748 3206 3612 3664 4809 4816 5496 6412 7224 9161 9618 9847 10992 12824 14448 18322 19236 19694 25648 27483 29541 36644 38472 39388 54966 59082 64127 68929 73288 76944 78776 109932 118164 128254 137858 146576 157552 192381 206787 219864 236328 256508 275716 384762 393923 413574 439728 472656 513016 551432 769524 787846 827148 1026032 1102864 1181769 1539048 1575692 1654296 2097869 2363538 2757461 3078096 3151384 3308592 4195738 4727076 5514922 6293607 6302768 8272383 8391476 9454152 11029844 12587214 14685083 16544766 16782952 18908304 22059688 25174428 29370166 33089532 33565904 44055249 44119376 50348856 58740332 66179064 88110498 90208367 100697712 117480664 132358128 176220996 180416734 234961328 270625101 352441992 360833468 541250202 631458569 704883984 721666936 1082500404 1262917138 1443333872 1894375707 2165000808 2525834276 3788751414 4330001616 5051668552 7577502828 10103337104 15155005656 30310011312