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181041740100 = 22325213210912
BaseRepresentation
bin1010100010011011101…
…1011011100101000100
3122022022002222022000100
42220212323123211010
510431233141140400
6215100332444100
716036245254154
oct2504673334504
9568262868010
10181041740100
116a863384a11
122b106619630
13140c2707300
148a962d0764
154a98dd2100
hex2a26edb944

181041740100 has 243 divisors, whose sum is σ = 615037971639. Its totient is φ = 44523273600.

The previous prime is 181041740081. The next prime is 181041740107. The reversal of 181041740100 is 1047140181.

The square root of 181041740100 is 425490.

It is a perfect power (a square), and thus also a powerful number.

181041740100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46663776324 + 134377963776 = 216018^2 + 366576^2 .

It is a super-2 number, since 2×1810417401002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (181041740107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 165940555 + ... + 165941645.

Almost surely, 2181041740100 is an apocalyptic number.

181041740100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

181041740100 is the 425490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181041740100

181041740100 is an abundant number, since it is smaller than the sum of its proper divisors (433996231539).

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

181041740100 is a wasteful number, since it uses less digits than its factorization.

181041740100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 181041740100 its reverse (1047140181), we get a palindrome (182088880281).

The spelling of 181041740100 in words is "one hundred eighty-one billion, forty-one million, seven hundred forty thousand, one hundred".