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231011322102 = 2321137188916693
BaseRepresentation
bin1101011100100101011…
…0010000100011110110
3211002021120120001222200
43113021112100203312
512241102344301402
6254043010205330
722455450560541
oct3271126204366
9732246501880
10231011322102
1189a75961520
1238931283846
1318a27086a02
14b276983858
156020c6921c
hex35c95908f6

231011322102 has 96 divisors (see below), whose sum is σ = 561114721440. Its totient is φ = 68071311360.

The previous prime is 231011322089. The next prime is 231011322109. The reversal of 231011322102 is 201223110132.

231011322102 is a `hidden beast` number, since 231 + 0 + 11 + 322 + 102 = 666.

231011322102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231011322109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13830468 + ... + 13847160.

It is an arithmetic number, because the mean of its divisors is an integer number (5844945015).

Almost surely, 2231011322102 is an apocalyptic number.

231011322102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 231011322102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280557360720).

231011322102 is an abundant number, since it is smaller than the sum of its proper divisors (330103399338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231011322102 is a wasteful number, since it uses less digits than its factorization.

231011322102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18638 (or 18635 counting only the distinct ones).

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

Adding to 231011322102 its reverse (201223110132), we get a palindrome (432234432234).

The spelling of 231011322102 in words is "two hundred thirty-one billion, eleven million, three hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1889 2442 3663 3778 5667 7326 11334 16693 17001 20779 33386 34002 41558 50079 62337 69893 100158 124674 139786 150237 183623 187011 209679 300474 367246 374022 419358 550869 617641 629037 768823 1101738 1235282 1258074 1537646 1652607 1852923 2306469 3305214 3705846 4612938 5558769 6794051 6919407 11117538 13588102 13838814 20382153 31533077 40764306 61146459 63066154 94599231 122292918 189198462 283797693 346863847 567595386 693727694 1040591541 1166723849 2081183082 2333447698 3121774623 3500171547 6243549246 7000343094 10500514641 12833962339 21001029282 25667924678 38501887017 77003774034 115505661051 231011322102