Search a number
-
+
211210100021 = 232399262949
BaseRepresentation
bin1100010010110100011…
…0100101110100110101
3202012011121001202210002
43010231012211310311
511430024241200041
6241010101241045
721154661141234
oct3045506456465
9665147052702
10211210100021
1181634660278
1234b25a03185
1316bbc92905b
14a318c42b1b
1557626b559b
hex312d1a5d35

211210100021 has 6 divisors (see below), whose sum is σ = 220792411350. Its totient is φ = 202027051688.

The previous prime is 211210099979. The next prime is 211210100029. The reversal of 211210100021 is 120001012112.

211210100021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 148151859025 + 63058240996 = 384905^2 + 251114^2 .

It is a de Polignac number, because none of the positive numbers 2k-211210100021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211210099975 and 211210100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 199630946 + ... + 199632003.

It is an arithmetic number, because the mean of its divisors is an integer number (36798735225).

Almost surely, 2211210100021 is an apocalyptic number.

It is an amenable number.

211210100021 is a deficient number, since it is larger than the sum of its proper divisors (9582311329).

211210100021 is an equidigital number, since it uses as much as digits as its factorization.

211210100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399262995 (or 399262972 counting only the distinct ones).

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

Adding to 211210100021 its reverse (120001012112), we get a palindrome (331211112133).

The spelling of 211210100021 in words is "two hundred eleven billion, two hundred ten million, one hundred thousand, twenty-one".

Divisors: 1 23 529 399262949 9183047827 211210100021