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332132002113330 = 23255778163867977
BaseRepresentation
bin100101110000100101000001…
…0000000010010011100110010
31121112222111202021202100002200
41023201022002000102130302
5322013122320020111310
63134215200235524030
7126646513430134656
oct11341120200223462
91545874667670080
10332132002113330
1196911433590901
12313014a75b9616
1311342bb49b71a3
145c033bb9c6a66
15285e7b01079c0
hex12e1282012732

332132002113330 has 48 divisors (see below), whose sum is σ = 863558164122264. Its totient is φ = 88566999678720.

The previous prime is 332132002113313. The next prime is 332132002113371. The reversal of 332132002113330 is 33311200231233.

332132002113330 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 320 + 0 + 2 + 1 + 1 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 331038047191401 + 1093954921929 = 18194451^2 + 1045923^2 .

It is a super-2 number, since 2×3321320021133302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332132002113294 and 332132002113303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26733699 + ... + 37134278.

Almost surely, 2332132002113330 is an apocalyptic number.

332132002113330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332132002113330 is an abundant number, since it is smaller than the sum of its proper divisors (531426162008934).

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

332132002113330 is a wasteful number, since it uses less digits than its factorization.

332132002113330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63925771 (or 63925768 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 332132002113330 its reverse (33311200231233), we get a palindrome (365443202344563).

The spelling of 332132002113330 in words is "three hundred thirty-two trillion, one hundred thirty-two billion, two million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 57781 115562 173343 288905 346686 520029 577810 866715 1040058 1733430 2600145 5200290 63867977 127735954 191603931 319339885 383207862 574811793 638679770 958019655 1149623586 1916039310 2874058965 5748117930 3690355579037 7380711158074 11071066737111 18451777895185 22142133474222 33213200211333 36903555790370 55355333685555 66426400422666 110710667371110 166066001056665 332132002113330