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332002110132 = 2232721128917477
BaseRepresentation
bin1001101010011001101…
…11100010101010110100
31011201221210112122220100
410311030313202222310
520414420020011012
6412304125234100
732662215242100
oct4651467425264
91151853478810
10332002110132
1111888a599300
1254416a02930
13253ccc29654
14120d7434900
158981e658dc
hex4d4cde2ab4

332002110132 has 324 divisors, whose sum is σ = 1085180880420. Its totient is φ = 85260510720.

The previous prime is 332002110059. The next prime is 332002110133. The reversal of 332002110132 is 231011200233.

332002110132 is a `hidden beast` number, since 3 + 320 + 0 + 211 + 0 + 132 = 666.

332002110132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43800629796 + 288201480336 = 209286^2 + 536844^2 .

It is a super-2 number, since 2×3320021101322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332002110133) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18987778 + ... + 19005254.

It is an arithmetic number, because the mean of its divisors is an integer number (3349323705).

Almost surely, 2332002110132 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 332002110132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542590440210).

332002110132 is an abundant number, since it is smaller than the sum of its proper divisors (753178770288).

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

332002110132 is a wasteful number, since it uses less digits than its factorization.

332002110132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17612 (or 17589 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332002110132 its reverse (231011200233), we get a palindrome (563013310365).

The spelling of 332002110132 in words is "three hundred thirty-two billion, two million, one hundred ten thousand, one hundred thirty-two".