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102221031231 = 3211293866879
BaseRepresentation
bin101111100110011011…
…0010010011100111111
3100202211221220102022200
41133030312102130333
53133322040444411
6114543143242543
710246063300134
oct1371466223477
9322757812280
10102221031231
113a39611a800
1217989749453
1398409c59c7
144d3a01458b
1529d420ce56
hex17ccd9273f

102221031231 has 18 divisors (see below), whose sum is σ = 162295835520. Its totient is φ = 61952139480.

The previous prime is 102221031223. The next prime is 102221031329. The reversal of 102221031231 is 132130122201.

102221031231 is a `hidden beast` number, since 102 + 221 + 0 + 312 + 31 = 666.

It is not a de Polignac number, because 102221031231 - 23 = 102221031223 is a prime.

It is a super-3 number, since 3×1022210312313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221031631) 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 17 ways as a sum of consecutive naturals, for example, 46932351 + ... + 46934528.

Almost surely, 2102221031231 is an apocalyptic number.

102221031231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102221031231 is a deficient number, since it is larger than the sum of its proper divisors (60074804289).

102221031231 is a wasteful number, since it uses less digits than its factorization.

102221031231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93866907 (or 93866893 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102221031231 its reverse (132130122201), we get a palindrome (234351153432).

The spelling of 102221031231 in words is "one hundred two billion, two hundred twenty-one million, thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 93866879 281600637 844801911 1032535669 3097607007 9292821021 11357892359 34073677077 102221031231