Search a number
-
+
2001113700 = 223527193949
BaseRepresentation
bin111011101000110…
…1001001001100100
312011110110002221020
41313101221021210
513044241114300
6530322451140
7100406120505
oct16721511144
95143402836
102001113700
11937638383
1247a203ab0
1325b777261
1414daa8bac
15baa328a0
hex77469264

2001113700 has 72 divisors (see below), whose sum is σ = 5871499200. Its totient is φ = 526108800.

The previous prime is 2001113677. The next prime is 2001113701. The reversal of 2001113700 is 73111002.

2001113700 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001113700.

It is not an unprimeable number, because it can be changed into a prime (2001113701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25675 + ... + 68274.

It is an arithmetic number, because the mean of its divisors is an integer number (81548600).

Almost surely, 22001113700 is an apocalyptic number.

2001113700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001113700 is an abundant number, since it is smaller than the sum of its proper divisors (3870385500).

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

2001113700 is a wasteful number, since it uses less digits than its factorization.

2001113700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94037 (or 94030 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 2001113700 is about 44733.8093616003. The cubic root of 2001113700 is about 1260.1548688451.

Adding to 2001113700 its reverse (73111002), we get a palindrome (2074224702).

The spelling of 2001113700 in words is "two billion, one million, one hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 93949 187898 281847 375796 469745 563694 939490 1127388 1409235 1878980 2348725 2818470 4697450 5636940 6670379 7046175 9394900 13340758 14092350 20011137 26681516 28184700 33351895 40022274 66703790 80044548 100055685 133407580 166759475 200111370 333518950 400222740 500278425 667037900 1000556850 2001113700