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3331431012 = 22372133711779
BaseRepresentation
bin1100011010010001…
…1001101001100100
322121011200020012210
43012210121221210
523310321243022
61310324043420
7145361460600
oct30644315144
98534606183
103331431012
11145a562478
1278b833570
13411268770
1423863c500
15147710a0c
hexc6919a64

3331431012 has 144 divisors (see below), whose sum is σ = 10002068160. Its totient is φ = 854800128.

The previous prime is 3331431011. The next prime is 3331431023. The reversal of 3331431012 is 2101341333.

It is a super-2 number, since 2×33314310122 = 22196865175430688288, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3331431012.

It is not an unprimeable number, because it can be changed into a prime (3331431011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276939 + ... + 288717.

Almost surely, 23331431012 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 3331431012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001034080).

3331431012 is an abundant number, since it is smaller than the sum of its proper divisors (6670637148).

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

3331431012 is a wasteful number, since it uses less digits than its factorization.

3331431012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11850 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3331431012 is about 57718.5499817866. The cubic root of 3331431012 is about 1493.5173590487.

Adding to 3331431012 its reverse (2101341333), we get a palindrome (5432772345).

The spelling of 3331431012 in words is "three billion, three hundred thirty-one million, four hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 49 52 74 78 84 91 98 111 147 148 156 182 196 222 259 273 294 364 444 481 518 546 588 637 777 962 1036 1092 1274 1443 1554 1813 1911 1924 2548 2886 3108 3367 3626 3822 5439 5772 6734 7252 7644 10101 10878 11779 13468 20202 21756 23558 23569 35337 40404 47116 47138 70674 70707 82453 94276 141348 141414 153127 164906 247359 282828 306254 329812 435823 459381 494718 577171 612508 871646 918762 989436 1071889 1154342 1307469 1731513 1743292 1837524 2143778 2308684 2614938 3050761 3215667 3463026 4287556 5229876 5665699 6101522 6431334 6926052 7503223 9152283 11331398 12203044 12862668 15006446 16997097 18304566 21355327 22509669 22662796 30012892 33994194 36609132 39659893 42710654 45019338 64065981 67988388 79319786 85421308 90038676 118979679 128131962 158639572 237959358 256263924 277619251 475918716 555238502 832857753 1110477004 1665715506 3331431012