Search a number
-
+
2101202120200 = 235241256244161
BaseRepresentation
bin11110100100111001011…
…001111110111000001000
321102212120101111020010011
4132210321121332320020
5233411230220321300
64245140125401304
7304543514222131
oct36447131767010
97385511436104
102101202120200
11740129900657
1229b288409234
131231b112b331
14739ad432c88
15399cca20eba
hex1e93967ee08

2101202120200 has 48 divisors (see below), whose sum is σ = 5004448483860. Its totient is φ = 819981312000.

The previous prime is 2101202120141. The next prime is 2101202120203. The reversal of 2101202120200 is 20212021012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 705878907556 + 1395323212644 = 840166^2 + 1181238^2 .

It is not an unprimeable number, because it can be changed into a prime (2101202120203) 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, 128113881 + ... + 128130280.

Almost surely, 22101202120200 is an apocalyptic number.

2101202120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101202120200 is an abundant number, since it is smaller than the sum of its proper divisors (2903246363660).

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

2101202120200 is a wasteful number, since it uses less digits than its factorization.

2101202120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256244218 (or 256244209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2101202120200 its reverse (20212021012), we get a palindrome (2121414141212).

The spelling of 2101202120200 in words is "two trillion, one hundred one billion, two hundred two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 256244161 512488322 1024976644 1281220805 2049953288 2562441610 5124883220 6406104025 10249766440 10506010601 12812208050 21012021202 25624416100 42024042404 51248832200 52530053005 84048084808 105060106010 210120212020 262650265025 420240424040 525300530050 1050601060100 2101202120200