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241031040100 = 22525417444953
BaseRepresentation
bin1110000001111010010…
…0011100110001100100
3212001010212102111010021
43200132210130301210
512422112421240400
6302421135404524
723261655015424
oct3403644346144
9761125374107
10241031040100
11932478139a4
123a868983744
1319962b89126
14b94759a484
15640a71e71a
hex381e91cc64

241031040100 has 36 divisors (see below), whose sum is σ = 523135087524. Its totient is φ = 96394401280.

The previous prime is 241031040059. The next prime is 241031040119. The reversal of 241031040100 is 1040130142.

It can be written as a sum of positive squares in 6 ways, for example, as 20738916 + 241010301184 = 4554^2 + 490928^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319224 + ... + 764176.

It is an arithmetic number, because the mean of its divisors is an integer number (14531530209).

Almost surely, 2241031040100 is an apocalyptic number.

241031040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241031040100 is an abundant number, since it is smaller than the sum of its proper divisors (282104047424).

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

241031040100 is a wasteful number, since it uses less digits than its factorization.

241031040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450384 (or 450377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 241031040100 its reverse (1040130142), we get a palindrome (242071170242).

The spelling of 241031040100 in words is "two hundred forty-one billion, thirty-one million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5417 10834 21668 27085 54170 108340 135425 270850 444953 541700 889906 1779812 2224765 4449530 8899060 11123825 22247650 44495300 2410310401 4820620802 9641241604 12051552005 24103104010 48206208020 60257760025 120515520050 241031040100