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332001102132 = 223371731226881
BaseRepresentation
bin1001101010011001100…
…11101100100100110100
31011201221201122110012000
410311030303230210310
520414414240232012
6412304051455300
732662203543240
oct4651463544464
91151851573160
10332001102132
11118889a6aa47
12544165b7530
13253cc9658bb
14120d7251420
158981d16ddc
hex4d4ccec934

332001102132 has 288 divisors, whose sum is σ = 1076295064320. Its totient is φ = 86394470400.

The previous prime is 332001102091. The next prime is 332001102151. The reversal of 332001102132 is 231201100233.

It is a super-2 number, since 2×3320011021322 (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 an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12337332 + ... + 12364212.

It is an arithmetic number, because the mean of its divisors is an integer number (3737135640).

Almost surely, 2332001102132 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 332001102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538147532160).

332001102132 is an abundant number, since it is smaller than the sum of its proper divisors (744293962188).

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

332001102132 is a wasteful number, since it uses less digits than its factorization.

332001102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26980 (or 26941 counting only the distinct ones).

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

Adding to 332001102132 its reverse (231201100233), we get a palindrome (563202202365).

The spelling of 332001102132 in words is "three hundred thirty-two billion, one million, one hundred two thousand, one hundred thirty-two".