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332113330110120 = 2335132231747546467
BaseRepresentation
bin100101110000011100010100…
…1000100001111111010101000
31121112220201120000002021222020
41023200320221010033322220
5322012321100002010440
63134202431350024440
7126645252631544556
oct11340705104177250
91545821500067866
10332113330110120
1196904521741499
12312b9956348120
13113411ca49a790
145c02529c2cbd6
15285e06ac5c3d0
hex12e0e2910fea8

332113330110120 has 256 divisors, whose sum is σ = 1078412017213440. Its totient is φ = 81337643209728.

The previous prime is 332113330110119. The next prime is 332113330110127. The reversal of 332113330110120 is 21011033311233.

It is a super-2 number, since 2×3321133301101202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (332113330110127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607473127 + ... + 608019593.

It is an arithmetic number, because the mean of its divisors is an integer number (4212546942240).

Almost surely, 2332113330110120 is an apocalyptic number.

332113330110120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332113330110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539206008606720).

332113330110120 is an abundant number, since it is smaller than the sum of its proper divisors (746298687103320).

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

332113330110120 is a wasteful number, since it uses less digits than its factorization.

332113330110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548464 (or 548460 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 332113330110120 its reverse (21011033311233), we get a palindrome (353124363421353).

The spelling of 332113330110120 in words is "three hundred thirty-two trillion, one hundred thirteen billion, three hundred thirty million, one hundred ten thousand, one hundred twenty".