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332230002102 = 232313719980863
BaseRepresentation
bin1001101010110100111…
…00111000010110110110
31011202112200100202220200
410311122130320112312
520420401340031402
6412342505541330
733000653265135
oct4653234702666
91152480322820
10332230002102
111189971a1979
125447b1a4846
13254381cb27b
14121197d791c
158996e7e21c
hex4d5a7385b6

332230002102 has 96 divisors (see below), whose sum is σ = 766978867200. Its totient is φ = 103749180480.

The previous prime is 332230002089. The next prime is 332230002107. The reversal of 332230002102 is 201200032233.

It is a happy number.

332230002102 is a `hidden beast` number, since 332 + 230 + 0 + 0 + 2 + 102 = 666.

It is a super-2 number, since 2×3322300021022 (a number of 24 digits) contains 22 as substring.

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 (332230002107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4068123 + ... + 4148985.

It is an arithmetic number, because the mean of its divisors is an integer number (7989363200).

Almost surely, 2332230002102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332230002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383489433600).

332230002102 is an abundant number, since it is smaller than the sum of its proper divisors (434748865098).

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

332230002102 is a wasteful number, since it uses less digits than its factorization.

332230002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81138 (or 81135 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 332230002102 its reverse (201200032233), we get a palindrome (533430034335).

The spelling of 332230002102 in words is "three hundred thirty-two billion, two hundred thirty million, two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 199 222 279 333 398 558 597 666 1147 1194 1791 2294 3441 3582 6169 6882 7363 10323 12338 14726 18507 20646 22089 37014 44178 55521 66267 80863 111042 132534 161726 228253 242589 456506 485178 684759 727767 1369518 1455534 2054277 2506753 2991931 4108554 5013506 5983862 7520259 8975793 15040518 16091737 17951586 22560777 26927379 32183474 45121554 48275211 53854758 92749861 96550422 144825633 185499722 278249583 289651266 498843847 556499166 595394269 834748749 997687694 1190788538 1496531541 1669497498 1786182807 2993063082 3572365614 4489594623 5358548421 8979189246 10717096842 18457222339 36914444678 55371667017 110743334034 166115001051 332230002102