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2001120318 = 2321910953681
BaseRepresentation
bin111011101000110…
…1010110000111110
312011110110110000100
41313101222300332
513044241322233
6530322541530
7100406146011
oct16721526076
95143413010
102001120318
1193764234a
1247a2078a6
1325b77a282
1414daab378
15baa34813
hex7746ac3e

2001120318 has 48 divisors (see below), whose sum is σ = 4605915600. Its totient is φ = 626123520.

The previous prime is 2001120301. The next prime is 2001120347. The reversal of 2001120318 is 8130211002.

It is a super-2 number, since 2×20011203182 = 8008965054224842248, 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 2001120318.

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, 10438 + ... + 64118.

It is an arithmetic number, because the mean of its divisors is an integer number (95956575).

Almost surely, 22001120318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001120318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302957800).

2001120318 is an abundant number, since it is smaller than the sum of its proper divisors (2604795282).

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

2001120318 is a wasteful number, since it uses less digits than its factorization.

2001120318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53817 (or 53814 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2001120318 is about 44733.8833324361. The cubic root of 2001120318 is about 1260.1562580208.

The spelling of 2001120318 in words is "two billion, one million, one hundred twenty thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 19 38 57 109 114 171 218 327 342 654 981 1962 2071 4142 6213 12426 18639 37278 53681 107362 161043 322086 483129 966258 1019939 2039878 3059817 5851229 6119634 9179451 11702458 17553687 18358902 35107374 52661061 105322122 111173351 222346702 333520053 667040106 1000560159 2001120318