Search a number
-
+
211022202100 = 22525113412717
BaseRepresentation
bin1100010010000111100…
…1110100010011110100
3202011200111111120021211
43010201321310103310
511424133140431400
6240535310051204
721150220060003
oct3044171642364
9664614446254
10211022202100
1181548593836
1234a92aa9b04
1316b8ca1b358
14a2dbcd0c3a
155750e4bdba
hex3121e744f4

211022202100 has 36 divisors (see below), whose sum is σ = 458008847884. Its totient is φ = 84392167680.

The previous prime is 211022202067. The next prime is 211022202103. The reversal of 211022202100 is 1202220112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30657208464 + 180364993636 = 175092^2 + 424694^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211022202103) 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, 304942 + ... + 717658.

Almost surely, 2211022202100 is an apocalyptic number.

211022202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022202100 is an abundant number, since it is smaller than the sum of its proper divisors (246986645784).

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

211022202100 is a wasteful number, since it uses less digits than its factorization.

211022202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417844 (or 417837 counting only the distinct ones).

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

Adding to 211022202100 its reverse (1202220112), we get a palindrome (212224422212).

The spelling of 211022202100 in words is "two hundred eleven billion, twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5113 10226 20452 25565 51130 102260 127825 255650 412717 511300 825434 1650868 2063585 4127170 8254340 10317925 20635850 41271700 2110222021 4220444042 8440888084 10551110105 21102220210 42204440420 52755550525 105511101050 211022202100