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211221001101 = 311232593107323
BaseRepresentation
bin1100010010110111000…
…0001011001110001101
3202012012100120121020210
43010231300023032031
511430040034013401
6241011131033033
721155152612635
oct3045560131615
9665170517223
10211221001101
118163a826430
1234b2959b779
1316bc1c74ab6
14a31a47d6c5
15576361a4d6
hex312dc0b38d

211221001101 has 32 divisors (see below), whose sum is σ = 320715021312. Its totient is φ = 122398594560.

The previous prime is 211221001099. The next prime is 211221001109. The reversal of 211221001101 is 101100122112.

It is not a de Polignac number, because 211221001101 - 21 = 211221001099 is a prime.

It is a super-2 number, since 2×2112210011012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221001109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914426 + ... + 2021748.

It is an arithmetic number, because the mean of its divisors is an integer number (10022344416).

Almost surely, 2211221001101 is an apocalyptic number.

It is an amenable number.

211221001101 is a deficient number, since it is larger than the sum of its proper divisors (109494020211).

211221001101 is a wasteful number, since it uses less digits than its factorization.

211221001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109953.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211221001101 its reverse (101100122112), we get a palindrome (312321123213).

The spelling of 211221001101 in words is "two hundred eleven billion, two hundred twenty-one million, one thousand, one hundred one".

Divisors: 1 3 11 23 33 69 253 759 2593 7779 28523 59639 85569 107323 178917 321969 656029 1180553 1968087 2468429 3541659 7405287 27152719 81458157 278288539 834865617 3061173929 6400636397 9183521787 19201909191 70407000367 211221001101