Search a number
-
+
102022231221 = 32179193328127
BaseRepresentation
bin101111100000011111…
…1111011010010110101
3100202100002211022222100
41133000333323102311
53132420142344341
6114511322252313
710241130441231
oct1370077732265
9322302738870
10102022231221
113a2a3987379
1217933057099
13980b76b971
144d1b8655c1
1529c1a3e3b6
hex17c0ffb4b5

102022231221 has 24 divisors (see below), whose sum is σ = 148956986880. Its totient is φ = 67284205056.

The previous prime is 102022231219. The next prime is 102022231231. The reversal of 102022231221 is 122132220201.

102022231221 is a `hidden beast` number, since 10 + 202 + 2 + 231 + 221 = 666.

It is not a de Polignac number, because 102022231221 - 21 = 102022231219 is a prime.

It is a super-2 number, since 2×1020222312212 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102022231194 and 102022231203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022231211) 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 23 ways as a sum of consecutive naturals, for example, 146860 + ... + 474986.

It is an arithmetic number, because the mean of its divisors is an integer number (6206541120).

Almost surely, 2102022231221 is an apocalyptic number.

It is an amenable number.

102022231221 is a deficient number, since it is larger than the sum of its proper divisors (46934755659).

102022231221 is a wasteful number, since it uses less digits than its factorization.

102022231221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328505 (or 328502 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102022231221 its reverse (122132220201), we get a palindrome (224154451422).

The spelling of 102022231221 in words is "one hundred two billion, twenty-two million, two hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 179 193 537 579 1611 1737 34547 103641 310923 328127 984381 2953143 58734733 63328511 176204199 189985533 528612597 569956599 11335803469 34007410407 102022231221