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211221143300 = 22522972834877
BaseRepresentation
bin1100010010110111000…
…0101101111100000100
3202012012100211211022102
43010231300231330010
511430040103041200
6241011134051232
721155154044336
oct3045560557404
9665170754272
10211221143300
118163a913252
1234b29649b18
1316bc1cc473b
14a31a4b9456
1557636476d5
hex312dc2df04

211221143300 has 36 divisors (see below), whose sum is σ = 474155055780. Its totient is φ = 81575061120.

The previous prime is 211221143293. The next prime is 211221143303. The reversal of 211221143300 is 3341122112.

It can be written as a sum of positive squares in 6 ways, for example, as 4065082564 + 207156060736 = 63758^2 + 455144^2 .

It is a super-2 number, since 2×2112211433002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (211221143303) 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, 36414539 + ... + 36420338.

Almost surely, 2211221143300 is an apocalyptic number.

211221143300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221143300 is an abundant number, since it is smaller than the sum of its proper divisors (262933912480).

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

211221143300 is a wasteful number, since it uses less digits than its factorization.

211221143300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72834920 (or 72834913 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211221143300 its reverse (3341122112), we get a palindrome (214562265412).

The spelling of 211221143300 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 72834877 145669754 291339508 364174385 728348770 1456697540 1820871925 2112211433 3641743850 4224422866 7283487700 8448845732 10561057165 21122114330 42244228660 52805285825 105610571650 211221143300