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3113131112 = 237313197443
BaseRepresentation
bin1011100110001110…
…1001110001101000
322000221220110001022
42321203221301220
522333430143422
61232525112012
7140101115000
oct27143516150
98027813038
103113131112
111358310533
1272a6b8608
133a7c74b20
14217655000
1513348e342
hexb98e9c68

3113131112 has 128 divisors (see below), whose sum is σ = 7384608000. Its totient is φ = 1222550784.

The previous prime is 3113131097. The next prime is 3113131127. The reversal of 3113131112 is 2111313113.

3113131112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3113131097) and next prime (3113131127).

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, 7027163 + ... + 7027605.

It is an arithmetic number, because the mean of its divisors is an integer number (57692250).

Almost surely, 23113131112 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 3113131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692304000).

3113131112 is an abundant number, since it is smaller than the sum of its proper divisors (4271476888).

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

3113131112 is a wasteful number, since it uses less digits than its factorization.

3113131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 662 counting only the distinct ones).

The product of its digits is 54, while the sum is 17.

The square root of 3113131112 is about 55795.4398853526. The cubic root of 3113131112 is about 1460.1555961024.

Adding to 3113131112 its reverse (2111313113), we get a palindrome (5224444225).

It can be divided in two parts, 311313111 and 2, that added together give a palindrome (311313113).

The spelling of 3113131112 in words is "three billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 197 343 364 392 394 443 637 686 728 788 886 1274 1372 1379 1576 1772 2548 2561 2744 2758 3101 3544 4459 5096 5122 5516 5759 6202 8918 9653 10244 11032 11518 12404 17836 17927 19306 20488 21707 23036 24808 35672 35854 38612 40313 43414 46072 67571 71708 77224 80626 86828 87271 125489 135142 143416 151949 161252 173656 174542 250978 270284 282191 303898 322504 349084 501956 540568 564382 607796 610897 698168 878423 1003912 1128764 1134523 1215592 1221794 1756846 1975337 2257528 2269046 2443588 3513692 3950674 4276279 4538092 4887176 7027384 7901348 7941661 8552558 9076184 15802696 15883322 17105116 29933953 31766644 34210232 55591627 59867906 63533288 111183254 119735812 222366508 239471624 389141389 444733016 778282778 1556565556 3113131112