Search a number
-
+
22122010012221 = 327351143016067
BaseRepresentation
bin1010000011110101011101…
…00011000110101000111101
32220022211202220200011112100
411001322232203012220331
510344421334030342341
6115014413333055313
74442156013354210
oct501725643065075
986284686604470
1022122010012221
117059989a28969
122593488487539
13c461342a3ac2
145669d4d97777
1528569e5083b6
hex141eae8c6a3d

22122010012221 has 12 divisors (see below), whose sum is σ = 36518873671072. Its totient is φ = 12641148578376.

The previous prime is 22122010012211. The next prime is 22122010012243. The reversal of 22122010012221 is 12221001022122.

It is a happy number.

22122010012221 is a `hidden beast` number, since 221 + 220 + 1 + 0 + 0 + 1 + 2 + 221 = 666.

It is not a de Polignac number, because 22122010012221 - 215 = 22122009979453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22122010012194 and 22122010012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122010012211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175571507971 + ... + 175571508096.

Almost surely, 222122010012221 is an apocalyptic number.

22122010012221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22122010012221 is a deficient number, since it is larger than the sum of its proper divisors (14396863658851).

22122010012221 is a wasteful number, since it uses less digits than its factorization.

22122010012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351143016080 (or 351143016077 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22122010012221 its reverse (12221001022122), we get a palindrome (34343011034343).

The spelling of 22122010012221 in words is "twenty-two trillion, one hundred twenty-two billion, ten million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 351143016067 1053429048201 2458001112469 3160287144603 7374003337407 22122010012221