Search a number
-
+
202100001012 = 223271361691087
BaseRepresentation
bin1011110000111000011…
…0010100100011110100
3201022122200210210022200
42330032012110203310
511302400100013022
6232502104224500
720413140443640
oct2741606244364
9638580723280
10202100001012
117878a200028
1233202a6b130
131609a40a620
149ad2d6bc20
1553cc9dbbac
hex2f0e1948f4

202100001012 has 72 divisors (see below), whose sum is σ = 628755568896. Its totient is φ = 53301098304.

The previous prime is 202100000929. The next prime is 202100001017. The reversal of 202100001012 is 210100001202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202100000985 and 202100001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100001017) 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, 30842268 + ... + 30848819.

Almost surely, 2202100001012 is an apocalyptic number.

It is an amenable number.

202100001012 is an abundant number, since it is smaller than the sum of its proper divisors (426655567884).

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

202100001012 is a wasteful number, since it uses less digits than its factorization.

202100001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61691117 (or 61691112 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 202100001012 its reverse (210100001202), we get a palindrome (412200002214).

The spelling of 202100001012 in words is "two hundred two billion, one hundred million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 61691087 123382174 185073261 246764348 370146522 431837609 555219783 740293044 801984131 863675218 1110439566 1295512827 1603968262 1727350436 2220879132 2405952393 2591025654 3207936524 3886538481 4811904786 5182051308 5613888917 7217857179 7773076962 9623809572 11227777834 14435714358 15546153924 16841666751 22455555668 28871428716 33683333502 50525000253 67366667004 101050000506 202100001012