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115141302100 = 225211432434277
BaseRepresentation
bin110101100111011110…
…1001101011101010100
3102000012101200011222101
41223032331031131110
53341302133131400
6124521205411444
711214210630256
oct1531675153524
9360171604871
10115141302100
1144916299510
121a394709b84
13ab1c7006b6
145803d47cd6
152edd66156a
hex1acef4d754

115141302100 has 72 divisors (see below), whose sum is σ = 278909836128. Its totient is φ = 40895836800.

The previous prime is 115141302097. The next prime is 115141302109. The reversal of 115141302100 is 1203141511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115141302109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169839 + ... + 1264438.

It is an arithmetic number, because the mean of its divisors is an integer number (3873747724).

Almost surely, 2115141302100 is an apocalyptic number.

115141302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115141302100 is an abundant number, since it is smaller than the sum of its proper divisors (163768534028).

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

115141302100 is a wasteful number, since it uses less digits than its factorization.

115141302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434345 (or 2434338 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 115141302100 its reverse (1203141511), we get a palindrome (116344443611).

It can be divided in two parts, 115141 and 302100, that added together give a triangular number (417241 = T913).

The spelling of 115141302100 in words is "one hundred fifteen billion, one hundred forty-one million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 9460 11825 23650 47300 2434277 4868554 9737108 12171385 24342770 26777047 48685540 53554094 60856925 104673911 107108188 121713850 133885235 209347822 243427700 267770470 418695644 523369555 535540940 669426175 1046739110 1151413021 1338852350 2093478220 2302826042 2616847775 2677704700 4605652084 5233695550 5757065105 10467391100 11514130210 23028260420 28785325525 57570651050 115141302100