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201232424120 = 235713316532731
BaseRepresentation
bin1011101101101001100…
…0110001110010111000
3201020102020022022120012
42323122120301302320
511244111000032440
6232240033121052
720352504245150
oct2733230616270
9636366268505
10201232424120
1178384503732
12330003b9188
1315c8c756b10
149a4da51760
15537b766e65
hex2eda631cb8

201232424120 has 256 divisors, whose sum is σ = 576326983680. Its totient is φ = 61515417600.

The previous prime is 201232424069. The next prime is 201232424143. The reversal of 201232424120 is 21424232102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73683155 + ... + 73685885.

It is an arithmetic number, because the mean of its divisors is an integer number (2251277280).

Almost surely, 2201232424120 is an apocalyptic number.

201232424120 is a gapful number since it is divisible by the number (20) 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 201232424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288163491840).

201232424120 is an abundant number, since it is smaller than the sum of its proper divisors (375094559560).

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

201232424120 is a wasteful number, since it uses less digits than its factorization.

201232424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 201232424120 its reverse (21424232102), we get a palindrome (222656656222).

The spelling of 201232424120 in words is "two hundred one billion, two hundred thirty-two million, four hundred twenty-four thousand, one hundred twenty".