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332123111320 = 2357211132921409
BaseRepresentation
bin1001101010101000001…
…01000111111110011000
31011202021020020011022211
410311110011013332120
520420142004030240
6412324130524504
732665214603200
oct4652405077630
91152236204284
10332123111320
11118941924290
125444b436734
132541c0141a0
1412109531400
15898c8b7bea
hex4d54147f98

332123111320 has 576 divisors, whose sum is σ = 1058434322400. Its totient is φ = 92195389440.

The previous prime is 332123111293. The next prime is 332123111329. The reversal of 332123111320 is 23111321233.

It is a super-2 number, since 2×3321231113202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 332123111291 and 332123111300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332123111329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 235714776 + ... + 235716184.

Almost surely, 2332123111320 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 332123111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529217161200).

332123111320 is an abundant number, since it is smaller than the sum of its proper divisors (726311211080).

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

332123111320 is a wasteful number, since it uses less digits than its factorization.

332123111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 332123111320 its reverse (23111321233), we get a palindrome (355234432553).

The spelling of 332123111320 in words is "three hundred thirty-two billion, one hundred twenty-three million, one hundred eleven thousand, three hundred twenty".