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212102320031 = 71971069143881
BaseRepresentation
bin1100010110001001001…
…0001000111110011111
3202021110202221020112122
43011202102020332133
511433341143220111
6241234412453155
721216043654610
oct3054222107637
9667422836478
10212102320031
1181a52259388
123513477a1bb
131700272a4a4
14a3a1535c07
1557b5ba6cdb
hex3162488f9f

212102320031 has 16 divisors (see below), whose sum is σ = 243862724160. Its totient is φ = 180708675840.

The previous prime is 212102320007. The next prime is 212102320033. The reversal of 212102320031 is 130023201212.

212102320031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212102320031 - 210 = 212102319007 is a prime.

It is a super-2 number, since 2×2121023200312 (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 = 212102319991 and 212102320009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102320033) 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 15 ways as a sum of consecutive naturals, for example, 1402211 + ... + 1546091.

It is an arithmetic number, because the mean of its divisors is an integer number (15241420260).

Almost surely, 2212102320031 is an apocalyptic number.

212102320031 is a deficient number, since it is larger than the sum of its proper divisors (31760404129).

212102320031 is a wasteful number, since it uses less digits than its factorization.

212102320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145154.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212102320031 its reverse (130023201212), we get a palindrome (342125521243).

The spelling of 212102320031 in words is "two hundred twelve billion, one hundred two million, three hundred twenty thousand, thirty-one".

Divisors: 1 7 197 1069 1379 7483 143881 210593 1007167 1474151 28344557 153808789 198411899 1076661523 30300331433 212102320031