Search a number
-
+
102221102221011 = 3215193978004457
BaseRepresentation
bin10111001111100000110100…
…011111001000011011010011
3111101221020112100222221222100
4113033200310133020123103
5101344242304132033021
61001223420455411443
730350142130414464
oct2717406437103323
9441836470887870
10102221102221011
112a6307a933a134
12b56b174383b83
134506540851997
141b357561c4d6b
15bc4013611626
hex5cf8347c86d3

102221102221011 has 24 divisors (see below), whose sum is σ = 148646371057184. Its totient is φ = 67688881718400.

The previous prime is 102221102220929. The next prime is 102221102221031. The reversal of 102221102221011 is 110122201122201.

102221102221011 is a `hidden beast` number, since 10 + 222 + 110 + 222 + 101 + 1 = 666.

It is not a de Polignac number, because 102221102221011 - 239 = 101671346407123 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221102221031) 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, 8768295 + ... + 16772751.

Almost surely, 2102221102221011 is an apocalyptic number.

102221102221011 is a deficient number, since it is larger than the sum of its proper divisors (46425268836173).

102221102221011 is a wasteful number, since it uses less digits than its factorization.

102221102221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014011 (or 8014008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102221102221011 its reverse (110122201122201), we get a palindrome (212343303343212).

The spelling of 102221102221011 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred two million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 9 151 453 1359 9397 28191 84573 1418947 4256841 8004457 12770523 24013371 72040113 1208673007 3626019021 10878057063 75217882429 225653647287 676960941861 11357900246779 34073700740337 102221102221011