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3002311312 = 2471113316047
BaseRepresentation
bin1011001011110011…
…1010001010010000
321202020101012212021
42302330322022100
522122042430222
61213525541224
7134254140130
oct26274721220
97666335767
103002311312
1113007a9a20
126b9574814
1338b013590
14206a48ac0
1512889dac7
hexb2f3a290

3002311312 has 160 divisors (see below), whose sum is σ = 8063483904. Its totient is φ = 1044748800.

The previous prime is 3002311271. The next prime is 3002311321. The reversal of 3002311312 is 2131132003.

It is a super-2 number, since 2×30023113122 = 18027746428326322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 493473 + ... + 499519.

Almost surely, 23002311312 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 3002311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031741952).

3002311312 is an abundant number, since it is smaller than the sum of its proper divisors (5061172592).

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

3002311312 is a wasteful number, since it uses less digits than its factorization.

3002311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3002311312 is about 54793.3509834907. The cubic root of 3002311312 is about 1442.6198628656.

Adding to 3002311312 its reverse (2131132003), we get a palindrome (5133443315).

The spelling of 3002311312 in words is "three billion, two million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 31 44 52 56 62 77 88 91 104 112 124 143 154 176 182 208 217 248 286 308 341 364 403 434 496 572 616 682 728 806 868 1001 1144 1232 1364 1456 1612 1736 2002 2288 2387 2728 2821 3224 3472 4004 4433 4774 5456 5642 6047 6448 8008 8866 9548 11284 12094 16016 17732 19096 22568 24188 31031 35464 38192 42329 45136 48376 62062 66517 70928 78611 84658 96752 124124 133034 157222 169316 187457 248248 266068 314444 338632 374914 465619 496496 532136 550277 628888 677264 749828 864721 931238 1064272 1100554 1257776 1312199 1499656 1729442 1862476 2062027 2201108 2436941 2624398 2999312 3458884 3724952 4124054 4402216 4873882 5248796 6053047 6917768 7449904 8248108 8804432 9747764 10497592 12106094 13835536 14434189 16496216 17058587 19495528 20995184 24212188 26806351 28868378 32992432 34117174 38991056 48424376 53612702 57736756 68234348 96848752 107225404 115473512 136468696 187644457 214450808 230947024 272937392 375288914 428901616 750577828 1501155656 3002311312