Search a number
-
+
202033021103320 = 2351143787121711149
BaseRepresentation
bin101101111011111101111010…
…011101001010110011011000
3222111100011112121111202120011
4231323331322131022303120
5202440102111400301240
61553404404423211304
760361255413500041
oct5573757235126330
9874304477452504
10202033021103320
11594127a5471870
121a7ab429ba6b34
13889682aa7b234
1437c6643c598c8
1518555210076ea
hexb7bf7a74acd8

202033021103320 has 256 divisors, whose sum is σ = 508539632832000. Its totient is φ = 71601538498560.

The previous prime is 202033021103297. The next prime is 202033021103387. The reversal of 202033021103320 is 23301120330202.

It is a super-2 number, since 2×2020330211033202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 202033021103291 and 202033021103300.

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, 18121173106 + ... + 18121184254.

It is an arithmetic number, because the mean of its divisors is an integer number (1986482940750).

Almost surely, 2202033021103320 is an apocalyptic number.

202033021103320 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 202033021103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254269816416000).

202033021103320 is an abundant number, since it is smaller than the sum of its proper divisors (306506611728680).

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

202033021103320 is a wasteful number, since it uses less digits than its factorization.

202033021103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13218 (or 13214 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 202033021103320 its reverse (23301120330202), we get a palindrome (225334141433522).

The spelling of 202033021103320 in words is "two hundred two trillion, thirty-three billion, twenty-one million, one hundred three thousand, three hundred twenty".