Search a number
-
+
3232101201120 = 25325111877108709
BaseRepresentation
bin101111000010001000001…
…111100111010011100000
3102102222121200121221101100
4233002020033213103200
5410423320401413440
610512450133434400
7452340323625531
oct57021017472340
912388550557340
103232101201120
1110367a995a460
124424a019ba00
131a5a2a63292c
14b2612502688
155911aee5230
hex2f0883e74e0

3232101201120 has 288 divisors, whose sum is σ = 12038752383840. Its totient is φ = 783115038720.

The previous prime is 3232101201107. The next prime is 3232101201149. The reversal of 3232101201120 is 211021012323.

3232101201120 is a `hidden beast` number, since 323 + 21 + 0 + 1 + 201 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 3232101201093 and 3232101201102.

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 47 ways as a sum of consecutive naturals, for example, 29677326 + ... + 29786034.

It is an arithmetic number, because the mean of its divisors is an integer number (41801223555).

Almost surely, 23232101201120 is an apocalyptic number.

3232101201120 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 3232101201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019376191920).

3232101201120 is an abundant number, since it is smaller than the sum of its proper divisors (8806651182720).

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

3232101201120 is a wasteful number, since it uses less digits than its factorization.

3232101201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110618 (or 110607 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3232101201120 its reverse (211021012323), we get a palindrome (3443122213443).

The spelling of 3232101201120 in words is "three trillion, two hundred thirty-two billion, one hundred one million, two hundred one thousand, one hundred twenty".