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2010312304 = 2471113314049
BaseRepresentation
bin111011111010010…
…1110111001110000
312012002202110001021
41313310232321300
513104114443204
6531251545224
7100550241550
oct16764567160
95162673037
102010312304
11941850430
124812bb214
13260648110
14150dc1160
15bb74d154
hex77d2ee70

2010312304 has 160 divisors (see below), whose sum is σ = 5399654400. Its totient is φ = 699494400.

The previous prime is 2010312223. The next prime is 2010312319. The reversal of 2010312304 is 4032130102.

It is a happy number.

It is a super-2 number, since 2×20103123042 = 8082711119227576832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494472 + ... + 498520.

It is an arithmetic number, because the mean of its divisors is an integer number (33747840).

Almost surely, 22010312304 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 2010312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699827200).

2010312304 is an abundant number, since it is smaller than the sum of its proper divisors (3389342096).

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

2010312304 is a wasteful number, since it uses less digits than its factorization.

2010312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2010312304 is about 44836.5063759433. The cubic root of 2010312304 is about 1262.0827868734.

Adding to 2010312304 its reverse (4032130102), we get a palindrome (6042442406).

The spelling of 2010312304 in words is "two billion, ten million, three hundred twelve thousand, three hundred four".

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 4049 4433 4774 5456 5642 6448 8008 8098 8866 9548 11284 16016 16196 17732 19096 22568 28343 31031 32392 35464 38192 44539 45136 52637 56686 62062 64784 70928 89078 105274 113372 124124 125519 178156 210548 226744 248248 251038 311773 356312 368459 421096 453488 496496 502076 579007 623546 712624 736918 842192 878633 1004152 1158014 1247092 1380709 1473836 1631747 1757266 2008304 2316028 2494184 2761418 2947672 3263494 3514532 4053049 4632056 4988368 5522836 5895344 6526988 7029064 8106098 9264112 9664963 11045672 11422229 13053976 14058128 16212196 17949217 19329926 22091344 22844458 26107952 32424392 35898434 38659852 45688916 64848784 71796868 77319704 91377832 125644519 143593736 154639408 182755664 251289038 287187472 502578076 1005156152 2010312304