Search a number
-
+
212121322022331 = 321710853127744759
BaseRepresentation
bin110000001110110001011000…
…000011000110010110111011
31000211001121012122111110120100
4300032301120003012112323
5210300343431414203311
62031051105015330443
762452155050444121
oct6016613003062673
91024047178443510
10212121322022331
1161652169321207
121b95a649680a23
139148c54a11857
143a54a2635d911
15197cb68055a56
hexc0ec580c65bb

212121322022331 has 24 divisors (see below), whose sum is σ = 324450740259360. Its totient is φ = 133083466926336.

The previous prime is 212121322022249. The next prime is 212121322022339. The reversal of 212121322022331 is 133220223121212.

212121322022331 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 1 + 322 + 0 + 2 + 2 + 331 = 666.

It is not a de Polignac number, because 212121322022331 - 213 = 212121322014139 is a prime.

It is a super-2 number, since 2×2121213220223312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212121322022295 and 212121322022304.

It is not an unprimeable number, because it can be changed into a prime (212121322022339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62211871 + ... + 65532888.

It is an arithmetic number, because the mean of its divisors is an integer number (13518780844140).

Almost surely, 2212121322022331 is an apocalyptic number.

212121322022331 is a deficient number, since it is larger than the sum of its proper divisors (112329418237029).

212121322022331 is a wasteful number, since it uses less digits than its factorization.

212121322022331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127755635 (or 127755632 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 212121322022331 its reverse (133220223121212), we get a palindrome (345341545143543).

The spelling of 212121322022331 in words is "two hundred twelve trillion, one hundred twenty-one billion, three hundred twenty-two million, twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 17 51 153 10853 32559 97677 184501 553503 1660509 127744759 383234277 1149702831 2171660903 6514982709 19544948127 1386413869427 4159241608281 12477724824843 23569035780259 70707107340777 212121322022331