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30111003312 = 243131919113297
BaseRepresentation
bin11100000010110000…
…010111001010110000
32212201111011110021220
4130002300113022300
5443131404101222
621455515145040
72114115206445
oct340260271260
985644143256
1030111003312
1111851970505
125a04145180
132abb38c030
1416590a19cc
15bb3753b5c
hex702c172b0

30111003312 has 160 divisors (see below), whose sum is σ = 88647659520. Its totient is φ = 8730685440.

The previous prime is 30111003301. The next prime is 30111003343. The reversal of 30111003312 is 21330011103.

It is a junction number, because it is equal to n+sod(n) for n = 30111003291 and 30111003300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2257848 + ... + 2271144.

It is an arithmetic number, because the mean of its divisors is an integer number (554047872).

Almost surely, 230111003312 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 30111003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44323829760).

30111003312 is an abundant number, since it is smaller than the sum of its proper divisors (58536656208).

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

30111003312 is a wasteful number, since it uses less digits than its factorization.

30111003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531 (or 13525 counting only the distinct ones).

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

Adding to 30111003312 its reverse (21330011103), we get a palindrome (51441014415).

The spelling of 30111003312 in words is "thirty billion, one hundred eleven million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 191 208 228 247 304 312 382 456 494 573 624 741 764 912 988 1146 1482 1528 1976 2292 2483 2964 3056 3629 3952 4584 4966 5928 7258 7449 9168 9932 10887 11856 13297 14516 14898 19864 21774 26594 29032 29796 39728 39891 43548 47177 53188 58064 59592 79782 87096 94354 106376 119184 141531 159564 172861 174192 188708 212752 252643 283062 319128 345722 377416 505286 518583 566124 638256 691444 754832 757929 1010572 1037166 1132248 1382888 1515858 2021144 2074332 2264496 2539727 2765776 3031716 3284359 4042288 4148664 5079454 6063432 6568718 7619181 8297328 9853077 10158908 12126864 13137436 15238362 19706154 20317816 26274872 30476724 33016451 39412308 40635632 48254813 52549744 60953448 66032902 78824616 96509626 99049353 121906896 132065804 144764439 157649232 193019252 198098706 264131608 289528878 386038504 396197412 528263216 579057756 627312569 772077008 792394824 1158115512 1254625138 1584789648 1881937707 2316231024 2509250276 3763875414 5018500552 7527750828 10037001104 15055501656 30111003312