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332201113213333 = 71343233364363877
BaseRepresentation
bin100101110001000101001100…
…1010110001101100110010101
31121120020010010202110222102011
41023202022121112031212111
5322020240334440311313
63134311030134344221
7126654511161606310
oct11342123126154625
91546203122428364
10332201113213333
1196938778a42181
12313129747bb071
1311349579c235c0
145c06896531977
1528614a768093d
hex12e229958d995

332201113213333 has 32 divisors (see below), whose sum is σ = 420166934643456. Its totient is φ = 255626035757568.

The previous prime is 332201113213309. The next prime is 332201113213339. The reversal of 332201113213333 is 333312311102233.

It is a happy number.

It is not a de Polignac number, because 332201113213333 - 25 = 332201113213301 is a prime.

It is a super-2 number, since 2×3322011132133332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332201113213295 and 332201113213304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332201113213339) 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 31 ways as a sum of consecutive naturals, for example, 181270210 + ... + 183093667.

It is an arithmetic number, because the mean of its divisors is an integer number (13130216707608).

Almost surely, 2332201113213333 is an apocalyptic number.

It is an amenable number.

332201113213333 is a deficient number, since it is larger than the sum of its proper divisors (87965821430123).

332201113213333 is a wasteful number, since it uses less digits than its factorization.

332201113213333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364364173.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 332201113213333 its reverse (333312311102233), we get a palindrome (665513424315566).

The spelling of 332201113213333 in words is "three hundred thirty-two trillion, two hundred one billion, one hundred thirteen million, two hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 7 13 43 91 233 301 559 1631 3029 3913 10019 21203 70133 130247 911729 364363877 2550547139 4736730401 15667646711 33157112807 84896783341 109673526977 203679407243 594277483387 1103658183433 1425755850701 3650561683663 7725607284031 25553931785641 47457301887619 332201113213333