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212333120231 = 17241115115569
BaseRepresentation
bin1100010111000000001…
…0100100101011100111
3202022001212020002220012
43011300002210223213
511434324234321411
6241313335400435
721224545512521
oct3056002445347
9668055202805
10212333120231
1182060568a51
1235199b2311b
131703b4a9a5b
14a3c4054a11
1557cb09718b
hex31700a4ae7

212333120231 has 24 divisors (see below), whose sum is σ = 231275036160. Its totient is φ = 194786816000.

The previous prime is 212333120227. The next prime is 212333120249. The reversal of 212333120231 is 132021333212.

It is not a de Polignac number, because 212333120231 - 22 = 212333120227 is a prime.

It is a super-2 number, since 2×2123331202312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212333120197 and 212333120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212333120281) 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 23 ways as a sum of consecutive naturals, for example, 13630415 + ... + 13645983.

It is an arithmetic number, because the mean of its divisors is an integer number (9636459840).

Almost surely, 2212333120231 is an apocalyptic number.

212333120231 is a deficient number, since it is larger than the sum of its proper divisors (18941915929).

212333120231 is a wasteful number, since it uses less digits than its factorization.

212333120231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16795 (or 16778 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 212333120231 its reverse (132021333212), we get a palindrome (344354453443).

The spelling of 212333120231 in words is "two hundred twelve billion, three hundred thirty-three million, one hundred twenty thousand, two hundred thirty-one".

Divisors: 1 17 41 289 697 1151 11849 15569 19567 47191 264673 332639 638329 802247 4499441 10851593 13638199 17919919 184477081 304638623 734716679 5178856591 12490183543 212333120231