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1000316016 = 243273726821
BaseRepresentation
bin111011100111111…
…001110001110000
32120201021022121100
4323213321301300
54022040103031
6243132124400
733534355140
oct7347716160
92521238540
101000316016
1147371a257
1223b006700
1312c31ac8b
1496bd0920
155cc44de6
hex3b9f9c70

1000316016 has 120 divisors (see below), whose sum is σ = 3286016864. Its totient is φ = 278069760.

The previous prime is 1000315997. The next prime is 1000316021. The reversal of 1000316016 is 6106130001.

It is a super-2 number, since 2×10003160162 = 2001264263732224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1000316016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23886 + ... + 50706.

Almost surely, 21000316016 is an apocalyptic number.

1000316016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000316016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643008432).

1000316016 is an abundant number, since it is smaller than the sum of its proper divisors (2285700848).

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

1000316016 is a wasteful number, since it uses less digits than its factorization.

1000316016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26879 (or 26870 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1000316016 is about 31627.7728586760. The cubic root of 1000316016 is about 1000.1053275724.

Adding to 1000316016 its reverse (6106130001), we get a palindrome (7106446017).

The spelling of 1000316016 in words is "one billion, three hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 2072 2331 2664 3108 4144 4662 5328 6216 9324 12432 18648 26821 37296 53642 80463 107284 160926 187747 214568 241389 321852 375494 429136 482778 563241 643704 750988 965556 992377 1126482 1287408 1501976 1689723 1931112 1984754 2252964 2977131 3003952 3379446 3862224 3969508 4505928 5954262 6758892 6946639 7939016 8931393 9011856 11908524 13517784 13893278 15878032 17862786 20839917 23817048 27035568 27786556 35725572 41679834 47634096 55573112 62519751 71451144 83359668 111146224 125039502 142902288 166719336 250079004 333438672 500158008 1000316016