Search a number
-
+
20340122104302 = 2371113293710330643
BaseRepresentation
bin1001001111111110011011…
…10000001011000111101110
32200000111102002012121111220
410213333031300023013232
510131223032224314202
6111132042331124210
74166345121142260
oct447771560130756
980014362177456
1020340122104302
116532219731120
1223460758a3666
13b470b0577860
14504677c73b30
1525415eaeaabc
hex127fcdc0b1ee

20340122104302 has 512 divisors, whose sum is σ = 58595485777920. Its totient is φ = 4536702535680.

The previous prime is 20340122104243. The next prime is 20340122104303.

It is a happy number.

20340122104302 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20340122104303) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 663761793 + ... + 663792435.

It is an arithmetic number, because the mean of its divisors is an integer number (114444308160).

Almost surely, 220340122104302 is an apocalyptic number.

20340122104302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340122104302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29297742888960).

20340122104302 is an abundant number, since it is smaller than the sum of its proper divisors (38255363673618).

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

20340122104302 is a wasteful number, since it uses less digits than its factorization.

20340122104302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30848.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2034012 and 2104302, that added together give a palindrome (4138314).

The spelling of 20340122104302 in words is "twenty trillion, three hundred forty billion, one hundred twenty-two million, one hundred four thousand, three hundred two".