Search a number
-
+
202031123323320 = 233353714473494011
BaseRepresentation
bin101101111011111100001001…
…010101101101100110111000
3222111022222122100111112211000
4231323330021111231212320
5202440034220032321240
61553403452231205000
760361160400564534
oct5573741125554670
9874288570445730
10202031123323320
1159411a111a2645
121a7aab9a516760
1388965b7843ca5
1437c6503bacbc4
15185545e5d7430
hexb7bf0956d9b8

202031123323320 has 256 divisors, whose sum is σ = 692116258636800. Its totient is φ = 52382645153280.

The previous prime is 202031123323313. The next prime is 202031123323321. The reversal of 202031123323320 is 23323321130202.

202031123323320 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 3 + 1 + 1 + 2 + 332 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202031123323321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56075115 + ... + 59569125.

It is an arithmetic number, because the mean of its divisors is an integer number (2703579135300).

Almost surely, 2202031123323320 is an apocalyptic number.

202031123323320 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 202031123323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346058129318400).

202031123323320 is an abundant number, since it is smaller than the sum of its proper divisors (490085135313480).

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

202031123323320 is a wasteful number, since it uses less digits than its factorization.

202031123323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495515 (or 3495505 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 202031123323320 its reverse (23323321130202), we get a palindrome (225354444453522).

The spelling of 202031123323320 in words is "two hundred two trillion, thirty-one billion, one hundred twenty-three million, three hundred twenty-three thousand, three hundred twenty".