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332211132111320 = 23572111091279110527
BaseRepresentation
bin100101110001001001110111…
…0100001010001100111011000
31121120021001222222210201200222
41023202103232201101213120
5322020421344310030240
63134315404234215212
7126655314356050400
oct11342235641214730
91546231888721628
10332211132111320
1196941a4a394560
12313148abb84508
131134a4b57c96c7
145c07166db3800
152861892022eb5
hex12e24ee8519d8

332211132111320 has 384 divisors, whose sum is σ = 958017798144000. Its totient is φ = 102515216993280.

The previous prime is 332211132111319. The next prime is 332211132111323. The reversal of 332211132111320 is 23111231112233.

It is a super-2 number, since 2×3322111321113202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332211132111320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332211132111323) 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 95 ways as a sum of consecutive naturals, for example, 3005645897 + ... + 3005756423.

It is an arithmetic number, because the mean of its divisors is an integer number (2494838016000).

Almost surely, 2332211132111320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332211132111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479008899072000).

332211132111320 is an abundant number, since it is smaller than the sum of its proper divisors (625806666032680).

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

332211132111320 is a wasteful number, since it uses less digits than its factorization.

332211132111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111951 (or 111940 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 332211132111320 its reverse (23111231112233), we get a palindrome (355322363223553).

The spelling of 332211132111320 in words is "three hundred thirty-two trillion, two hundred eleven billion, one hundred thirty-two million, one hundred eleven thousand, three hundred twenty".