Search a number
-
+
202100122000 = 2453714435723
BaseRepresentation
bin1011110000111000011…
…0110010000110010000
3201022122201000221021201
42330032012302012100
511302400112401000
6232502111000544
720413141456450
oct2741606620620
9638581027251
10202100122000
117878a282a17
1233202b09154
131609a45070a
149ad2d9dd60
1553cca1296a
hex2f0e1b2190

202100122000 has 80 divisors (see below), whose sum is σ = 558489290112. Its totient is φ = 69291465600.

The previous prime is 202100121959. The next prime is 202100122001. The reversal of 202100122000 is 221001202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (202100122001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7203862 + ... + 7231861.

Almost surely, 2202100122000 is an apocalyptic number.

202100122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100122000 is an abundant number, since it is smaller than the sum of its proper divisors (356389168112).

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

202100122000 is a wasteful number, since it uses less digits than its factorization.

202100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14435753 (or 14435737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202100122000 its reverse (221001202), we get a palindrome (202321123202).

The spelling of 202100122000 in words is "two hundred two billion, one hundred million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 14435723 28871446 57742892 72178615 101050061 115485784 144357230 202100122 230971568 288714460 360893075 404200244 505250305 577428920 721786150 808400488 1010500610 1154857840 1443572300 1616800976 1804465375 2021001220 2526251525 2887144600 3608930750 4042002440 5052503050 5774289200 7217861500 8084004880 10105006100 12631257625 14435723000 20210012200 25262515250 28871446000 40420024400 50525030500 101050061000 202100122000