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332300013332 = 227145925933137
BaseRepresentation
bin1001101010111101001…
…11111100111100010100
31011202201120002201021012
410311132213330330110
520421022300411312
6412353450311352
733002463336410
oct4653647747424
91152646081235
10332300013332
11118a227703a1
125449a728558
1325449871c31
1412124c1dd40
15899d1ad322
hex4d5e9fcf14

332300013332 has 48 divisors (see below), whose sum is σ = 665524110720. Its totient is φ = 142216445952.

The previous prime is 332300013323. The next prime is 332300013337. The reversal of 332300013332 is 233310003233.

It is a super-2 number, since 2×3323000133322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332300013298 and 332300013307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332300013337) 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 15 ways as a sum of consecutive naturals, for example, 105927668 + ... + 105930804.

It is an arithmetic number, because the mean of its divisors is an integer number (13865085640).

Almost surely, 2332300013332 is an apocalyptic number.

It is an amenable number.

332300013332 is an abundant number, since it is smaller than the sum of its proper divisors (333224097388).

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

332300013332 is a wasteful number, since it uses less digits than its factorization.

332300013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 332300013332 its reverse (233310003233), we get a palindrome (565610016565).

The spelling of 332300013332 in words is "three hundred thirty-two billion, three hundred million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 1459 2593 2918 3137 5186 5836 6274 10213 10372 12548 18151 20426 21959 36302 40852 43918 72604 87836 3783187 4576883 7566374 8134241 9153766 15132748 16268482 18307532 26482309 32038181 32536964 52964618 56939687 64076362 105929236 113879374 128152724 227758748 11867857619 23735715238 47471430476 83075003333 166150006666 332300013332