Search a number
-
+
1022211121113 = 327131248121027
BaseRepresentation
bin11101110000000001000…
…01111101111111011001
310121201111122120021200100
432320000201331333121
5113221442021333423
62101333003530013
7133565226111120
oct16700041757731
93551448507610
101022211121113
1136457658aa36
12146140529909
1375517a99a60
1437692262ab7
151b8cb699343
hexee0087dfd9

1022211121113 has 24 divisors (see below), whose sum is σ = 1817264216768. Its totient is φ = 539188283232.

The previous prime is 1022211121109. The next prime is 1022211121117. The reversal of 1022211121113 is 3111211122201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022211121109) and next prime (1022211121117).

It is not a de Polignac number, because 1022211121113 - 22 = 1022211121109 is a prime.

It is a super-2 number, since 2×10222111211132 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022211121117) 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, 624059695 + ... + 624061332.

Almost surely, 21022211121113 is an apocalyptic number.

1022211121113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1022211121113 is a deficient number, since it is larger than the sum of its proper divisors (795053095655).

1022211121113 is a wasteful number, since it uses less digits than its factorization.

1022211121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248121053 (or 1248121050 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1022211121113 its reverse (3111211122201), we get a palindrome (4133422243314).

The spelling of 1022211121113 in words is "one trillion, twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1248121027 3744363081 8736847189 11233089243 16225573351 26210541567 48676720053 78631624701 113579013457 146030160159 340737040371 1022211121113