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200112222211002 = 2321012291131742473
BaseRepresentation
bin101101100000000001000001…
…111010111000101110111010
3222020112112121211112001100200
4231200001001322320232322
5202212114312341223002
61545334141420543030
760102426262342323
oct5540010172705672
9866475554461320
10200112222211002
1158842131583482
121a53b10a3b1a76
138787669c9602a
14375b6a9dc744a
1518205a12deb1c
hexb60041eb8bba

200112222211002 has 96 divisors (see below), whose sum is σ = 439830626536080. Its totient is φ = 65747879193600.

The previous prime is 200112222210959. The next prime is 200112222211003.

It is a happy number.

200112222211002 is a `hidden beast` number, since 200 + 11 + 222 + 221 + 10 + 0 + 2 = 666.

200112222211002 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 197869263693201 + 2242958517801 = 14066601^2 + 1497651^2 .

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

It is not an unprimeable number, because it can be changed into a prime (200112222211003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4711494838 + ... + 4711537310.

Almost surely, 2200112222211002 is an apocalyptic number.

200112222211002 is an abundant number, since it is smaller than the sum of its proper divisors (239718404325078).

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

200112222211002 is a wasteful number, since it uses less digits than its factorization.

200112222211002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54128 (or 54125 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 200112222211002 in words is "two hundred trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 101 202 229 303 458 606 687 909 1374 1818 2061 4122 11317 22634 23129 33951 42473 46258 67902 69387 84946 101853 127419 138774 203706 208161 254838 382257 416322 764514 1143017 2286034 2591593 3429051 4289773 5183186 6858102 7774779 8579546 9726317 10287153 12869319 15549558 19452634 20574306 23324337 25738638 29178951 38607957 46648674 58357902 77215914 87536853 175073706 261750893 480666941 523501786 785252679 961333882 982358017 1442000823 1570505358 1964716034 2355758037 2884001646 2947074051 4326002469 4711516074 5894148102 8652004938 8841222153 17682444306 48547361041 97094722082 110072729489 145642083123 220145458978 291284166246 330218188467 436926249369 660436376934 873852498738 990654565401 1981309130802 11117345678389 22234691356778 33352037035167 66704074070334 100056111105501 200112222211002