Search a number
-
+
201121024320 = 26325378092333
BaseRepresentation
bin1011101101001110111…
…1110100100101000000
3201020010110200121202200
42323103233310211000
511243343440234240
6232221013313200
720346652333326
oct2732357644500
9636113617680
10201121024320
1178327636387
1232b8b035800
1315c72651588
149a3cd33d16
155371aae930
hex2ed3bf4940

201121024320 has 336 divisors, whose sum is σ = 711652191120. Its totient is φ = 52095909888.

The previous prime is 201121024309. The next prime is 201121024331. The reversal of 201121024320 is 23420121102.

It is a happy number.

201121024320 is a `hidden beast` number, since 20 + 1 + 1 + 210 + 2 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201121024309) and next prime (201121024331).

It can be written as a sum of positive squares in 8 ways, for example, as 16709181696 + 184411842624 = 129264^2 + 429432^2 .

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 = 201121024293 and 201121024302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86205874 + ... + 86208206.

Almost surely, 2201121024320 is an apocalyptic number.

201121024320 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 201121024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355826095560).

201121024320 is an abundant number, since it is smaller than the sum of its proper divisors (510531166800).

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

201121024320 is a wasteful number, since it uses less digits than its factorization.

201121024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201121024320 its reverse (23420121102), we get a palindrome (224541145422).

The spelling of 201121024320 in words is "two hundred one billion, one hundred twenty-one million, twenty-four thousand, three hundred twenty".