Search a number
-
+
1002113320200 = 233521670188867
BaseRepresentation
bin11101001010100101001…
…10111100010100001000
310112210122000000012210120
432211102212330110020
5112404312002221300
62044210422143240
7132254205451266
oct16452246742410
93483560005716
101002113320200
11356aa2931713
12142271881b20
137366406b575
1436706d9d436
151b1020603a0
hexe9529bc508

1002113320200 has 48 divisors (see below), whose sum is σ = 3106551294480. Its totient is φ = 267230218560.

The previous prime is 1002113320189. The next prime is 1002113320207. The reversal of 1002113320200 is 20233112001.

It is a super-2 number, since 2×10021133202002 (a number of 25 digits) contains 22 as substring.

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 1002113320200.

It is not an unprimeable number, because it can be changed into a prime (1002113320207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 835093834 + ... + 835095033.

It is an arithmetic number, because the mean of its divisors is an integer number (64719818635).

Almost surely, 21002113320200 is an apocalyptic number.

1002113320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002113320200 is an abundant number, since it is smaller than the sum of its proper divisors (2104437974280).

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

1002113320200 is a wasteful number, since it uses less digits than its factorization.

1002113320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670188886 (or 1670188877 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1002113320200 its reverse (20233112001), we get a palindrome (1022346432201).

The spelling of 1002113320200 in words is "one trillion, two billion, one hundred thirteen million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1670188867 3340377734 5010566601 6680755468 8350944335 10021133202 13361510936 16701888670 20042266404 25052833005 33403777340 40084532808 41754721675 50105666010 66807554680 83509443350 100211332020 125264165025 167018886700 200422664040 250528330050 334037773400 501056660100 1002113320200