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213224231101 = 71011679471907
BaseRepresentation
bin1100011010010100100…
…1111001000010111101
3202101100222000020012111
43012211021321002331
511443140400343401
6241542011134021
721255616026430
oct3064511710275
9671328006174
10213224231101
1182478579812
12353a8444311
1317150cb03ab
14a46a539817
15582e419e51
hex31a52790bd

213224231101 has 32 divisors (see below), whose sum is σ = 247962580992. Its totient is φ = 179586369600.

The previous prime is 213224231083. The next prime is 213224231117. The reversal of 213224231101 is 101132422312.

213224231101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213224231101 - 29 = 213224230589 is a prime.

It is a super-2 number, since 2×2132242311012 (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 (213224231141) 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 31 ways as a sum of consecutive naturals, for example, 111810390 + ... + 111812296.

It is an arithmetic number, because the mean of its divisors is an integer number (7748830656).

Almost surely, 2213224231101 is an apocalyptic number.

It is an amenable number.

213224231101 is a deficient number, since it is larger than the sum of its proper divisors (34738349891).

213224231101 is a wasteful number, since it uses less digits than its factorization.

213224231101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 213224231101 its reverse (101132422312), we get a palindrome (314356653413).

The spelling of 213224231101 in words is "two hundred thirteen billion, two hundred twenty-four million, two hundred thirty-one thousand, one hundred one".

Divisors: 1 7 101 167 707 947 1169 1907 6629 13349 16867 95647 118069 158149 192607 318469 669529 1107043 1348249 1805929 2229283 12641503 15973049 32165369 111811343 182398829 225157583 301590143 1276791803 2111131001 30460604443 213224231101