Search a number
-
+
211220120200 = 23521056100601
BaseRepresentation
bin1100010010110110110…
…0110100001010001000
3202012012021220211212211
43010231230310022020
511430034322321300
6241011100114504
721155142253465
oct3045554641210
9665167824784
10211220120200
118163a284611
1234b29235a34
1316bc1a26b5b
14a31a2d066c
1557634e44ba
hex312db34288

211220120200 has 24 divisors (see below), whose sum is σ = 491086779930. Its totient is φ = 84488048000.

The previous prime is 211220120191. The next prime is 211220120203. The reversal of 211220120200 is 2021022112.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 112537437156 + 98682683044 = 335466^2 + 314138^2 .

It is a super-2 number, since 2×2112201202002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211220120203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528050101 + ... + 528050500.

Almost surely, 2211220120200 is an apocalyptic number.

211220120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220120200 is an abundant number, since it is smaller than the sum of its proper divisors (279866659730).

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

211220120200 is a wasteful number, since it uses less digits than its factorization.

211220120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056100617 (or 1056100608 counting only the distinct ones).

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

Adding to 211220120200 its reverse (2021022112), we get a palindrome (213241142312).

The spelling of 211220120200 in words is "two hundred eleven billion, two hundred twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1056100601 2112201202 4224402404 5280503005 8448804808 10561006010 21122012020 26402515025 42244024040 52805030050 105610060100 211220120200