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211220002120 = 2356917763409
BaseRepresentation
bin1100010010110110110…
…0010111010101001000
3202012012021200211220111
43010231230113111020
511430034310031440
6241011053404104
721155141252311
oct3045554272510
9665167624814
10211220002120
118163a203926
1234b29199634
1316bc19b519a
14a31a29d608
1557634be4ea
hex312db17548

211220002120 has 32 divisors (see below), whose sum is σ = 475314334200. Its totient is φ = 84475675648.

The previous prime is 211220002117. The next prime is 211220002163. The reversal of 211220002120 is 21200022112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 210480923524 + 739078596 = 458782^2 + 27186^2 .

It is a super-2 number, since 2×2112200021202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211220002120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105025 + ... + 658384.

Almost surely, 2211220002120 is an apocalyptic number.

211220002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220002120 is an abundant number, since it is smaller than the sum of its proper divisors (264094332080).

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

211220002120 is a wasteful number, since it uses less digits than its factorization.

211220002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770337 (or 770333 counting only the distinct ones).

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

Adding to 211220002120 its reverse (21200022112), we get a palindrome (232420024232).

The spelling of 211220002120 in words is "two hundred eleven billion, two hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 6917 13834 27668 34585 55336 69170 138340 276680 763409 1526818 3053636 3817045 6107272 7634090 15268180 30536360 5280500053 10561000106 21122000212 26402500265 42244000424 52805000530 105610001060 211220002120