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211122000101 = 292320978229
BaseRepresentation
bin1100010010011111011…
…0100001000011100101
3202011221110021211102002
43010213312201003211
511424334213000401
6240553233055045
721152541251165
oct3044766410345
9664843254362
10211122000101
1181599957521
1234b003b7485
1316ba75c0c1c
14a30b26c5a5
155759ab1a6b
hex3127da10e5

211122000101 has 12 divisors (see below), whose sum is σ = 218724039300. Its totient is φ = 203775804288.

The previous prime is 211122000097. The next prime is 211122000109. The reversal of 211122000101 is 101000221112.

It can be written as a sum of positive squares in 6 ways, for example, as 7135180900 + 203986819201 = 84470^2 + 451649^2 .

It is not a de Polignac number, because 211122000101 - 22 = 211122000097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122000109) 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, 2659655 + ... + 2737883.

It is an arithmetic number, because the mean of its divisors is an integer number (18227003275).

Almost surely, 2211122000101 is an apocalyptic number.

It is an amenable number.

211122000101 is a deficient number, since it is larger than the sum of its proper divisors (7602039199).

211122000101 is an equidigital number, since it uses as much as digits as its factorization.

211122000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81496 (or 81467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211122000101 its reverse (101000221112), we get a palindrome (312122221213).

The spelling of 211122000101 in words is "two hundred eleven billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.

Divisors: 1 29 841 3209 78229 93061 2268641 2698769 65790589 251036861 7280068969 211122000101