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102220031331 = 32111954343451
BaseRepresentation
bin101111100110011001…
…0011110010101100011
3100202211220000121201100
41133030302132111203
53133321312000311
6114543110005443
710246051634025
oct1371462362543
9322756017640
10102220031331
113a3955a7540
1217989346883
139840735852
144d39c34015
1529d40b1a56
hex17ccc9e563

102220031331 has 24 divisors (see below), whose sum is σ = 169551570240. Its totient is φ = 58690926000.

The previous prime is 102220031327. The next prime is 102220031341. The reversal of 102220031331 is 133130022201.

102220031331 is a `hidden beast` number, since 102 + 2 + 200 + 31 + 331 = 666.

It is not a de Polignac number, because 102220031331 - 22 = 102220031327 is a prime.

It is a super-2 number, since 2×1022200313312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102220031341) 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, 27169845 + ... + 27173606.

It is an arithmetic number, because the mean of its divisors is an integer number (7064648760).

Almost surely, 2102220031331 is an apocalyptic number.

102220031331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102220031331 is a deficient number, since it is larger than the sum of its proper divisors (67331538909).

102220031331 is a wasteful number, since it uses less digits than its factorization.

102220031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54343487 (or 54343484 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102220031331 its reverse (133130022201), we get a palindrome (235350053532).

The spelling of 102220031331 in words is "one hundred two billion, two hundred twenty million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 54343451 163030353 489091059 597777961 1032525569 1793333883 3097576707 5380001649 9292730121 11357781259 34073343777 102220031331