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3112314114 = 2371319436977
BaseRepresentation
bin1011100110000010…
…0010010100000010
322000220100221100010
42321200202110002
522333223022424
61232455405350
7140061143040
oct27140422402
98026327303
103112314114
111357902728
1272a383856
133a7a49cb0
142174c1390
1513337c229
hexb9822502

3112314114 has 128 divisors (see below), whose sum is σ = 8253020160. Its totient is φ = 759435264.

The previous prime is 3112314109. The next prime is 3112314119. The reversal of 3112314114 is 4114132113.

It is an interprime number because it is at equal distance from previous prime (3112314109) and next prime (3112314119).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3112314119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442594 + ... + 449570.

It is an arithmetic number, because the mean of its divisors is an integer number (64476720).

Almost surely, 23112314114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112314114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126510080).

3112314114 is an abundant number, since it is smaller than the sum of its proper divisors (5140706046).

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

3112314114 is a wasteful number, since it uses less digits than its factorization.

3112314114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064.

The product of its digits is 288, while the sum is 21.

The square root of 3112314114 is about 55788.1180360119. The cubic root of 3112314114 is about 1460.0278524117.

Adding to 3112314114 its reverse (4114132113), we get a palindrome (7226446227).

The spelling of 3112314114 in words is "three billion, one hundred twelve million, three hundred fourteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 43 57 78 86 91 114 129 133 182 247 258 266 273 301 399 494 546 559 602 741 798 817 903 1118 1482 1634 1677 1729 1806 2451 3354 3458 3913 4902 5187 5719 6977 7826 10374 10621 11438 11739 13954 17157 20931 21242 23478 31863 34314 41862 48839 63726 74347 90701 97678 132563 146517 148694 181402 223041 265126 272103 293034 300011 397689 446082 544206 600022 634907 795378 900033 927941 1269814 1723319 1800066 1855882 1904721 2100077 2783823 3446638 3809442 3900143 4200154 5169957 5567646 5700209 6300231 7800286 10339914 11400418 11700429 12063233 12600462 17100627 23400858 24126466 27301001 34201254 36189699 39901463 54602002 72379398 74102717 79802926 81903003 119704389 148205434 163806006 222308151 239408778 444616302 518719019 1037438038 1556157057 3112314114