Search a number
-
+
210213022221 = 3237631270337
BaseRepresentation
bin1100001111000110101…
…1000010101000001101
3202002121002212222011200
43003301223002220031
511421004013202341
6240323122340113
721121163130666
oct3036153025015
9662532788150
10210213022221
1181172852a34
12348a7aba639
1316a911a2ca7
14a26265636d
155704daedb6
hex30f1ac2a0d

210213022221 has 12 divisors (see below), whose sum is σ = 311847546972. Its totient is φ = 136354392576.

The previous prime is 210213022211. The next prime is 210213022241. The reversal of 210213022221 is 122220312012.

210213022221 is a `hidden beast` number, since 210 + 213 + 0 + 22 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77276216196 + 132936806025 = 277986^2 + 364605^2 .

It is not a de Polignac number, because 210213022221 - 26 = 210213022157 is a prime.

It is a super-2 number, since 2×2102130222212 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210213022194 and 210213022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210213022211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315634836 + ... + 315635501.

It is an arithmetic number, because the mean of its divisors is an integer number (25987295581).

Almost surely, 2210213022221 is an apocalyptic number.

It is an amenable number.

210213022221 is a deficient number, since it is larger than the sum of its proper divisors (101634524751).

210213022221 is a wasteful number, since it uses less digits than its factorization.

210213022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631270380 (or 631270377 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 210213022221 its reverse (122220312012), we get a palindrome (332433334233).

The spelling of 210213022221 in words is "two hundred ten billion, two hundred thirteen million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 631270337 1893811011 5681433033 23357002469 70071007407 210213022221