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212323110021 = 321137163355609
BaseRepresentation
bin1100010110111101110…
…0011000110010000101
3202022001011101112110200
43011233130120302011
511434314204010041
6241312341041113
721224364441321
oct3055734306205
9668034345420
10212323110021
1182055951150
12351966b6199
13170393b3659
14a3c29aa981
1557ca26b1b6
hex316f718c85

212323110021 has 48 divisors (see below), whose sum is σ = 345721197120. Its totient is φ = 124434351360.

The previous prime is 212323110007. The next prime is 212323110091. The reversal of 212323110021 is 120011323212.

212323110021 is a `hidden beast` number, since 212 + 323 + 110 + 0 + 21 = 666.

212323110021 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 212323110021 - 25 = 212323109989 is a prime.

It is a super-2 number, since 2×2123231100212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212323109976 and 212323110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212323110091) 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 47 ways as a sum of consecutive naturals, for example, 419265 + ... + 774873.

It is an arithmetic number, because the mean of its divisors is an integer number (7202524940).

Almost surely, 2212323110021 is an apocalyptic number.

It is an amenable number.

212323110021 is a deficient number, since it is larger than the sum of its proper divisors (133398087099).

212323110021 is a wasteful number, since it uses less digits than its factorization.

212323110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355826 (or 355823 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212323110021 its reverse (120011323212), we get a palindrome (332334433233).

It can be divided in two parts, 21232 and 3110021, that added together give a triangular number (3131253 = T2502).

The spelling of 212323110021 in words is "two hundred twelve billion, three hundred twenty-three million, one hundred ten thousand, twenty-one".

Divisors: 1 3 9 11 33 37 99 111 163 333 407 489 1221 1467 1793 3663 5379 6031 16137 18093 54279 66341 199023 355609 597069 1066827 3200481 3911699 11735097 13157533 35205291 39472599 57964267 118417797 144732863 173892801 434198589 521678403 637606937 1302595767 1912820811 2144677879 5738462433 6434033637 19302100911 23591456669 70774370007 212323110021