Search a number
-
+
243134521020 = 223356161312041
BaseRepresentation
bin1110001001101111110…
…0100101111010111100
3212020120110111101111000
43202123330211322330
512440414414133040
6303410000330300
723365046221026
oct3423374457274
9766513441430
10243134521020
119412710a286
123b155313990
1319c098c54b1
14baa6ab1016
1564d0223130
hex389bf25ebc

243134521020 has 192 divisors, whose sum is σ = 770136958080. Its totient is φ = 63663667200.

The previous prime is 243134521009. The next prime is 243134521051. The reversal of 243134521020 is 20125431342.

243134521020 is a `hidden beast` number, since 2 + 4 + 3 + 134 + 521 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×2431345210202 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20186200 + ... + 20198240.

It is an arithmetic number, because the mean of its divisors is an integer number (4011129990).

Almost surely, 2243134521020 is an apocalyptic number.

243134521020 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 243134521020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385068479040).

243134521020 is an abundant number, since it is smaller than the sum of its proper divisors (527002437060).

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

243134521020 is a wasteful number, since it uses less digits than its factorization.

243134521020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12733 (or 12725 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 243134521020 its reverse (20125431342), we get a palindrome (263259952362).

The spelling of 243134521020 in words is "two hundred forty-three billion, one hundred thirty-four million, five hundred twenty-one thousand, twenty".