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101141014340 = 2255057050717
BaseRepresentation
bin101111000110001111…
…0010110011101000100
3100200001200122212200002
41132030132112131010
53124114044424330
6114244042540432
710210240302632
oct1361436263504
9320050585602
10101141014340
1139991514063
1217727b07718
1396cb020862
144c767d8352
15296e4c2e45
hex178c796744

101141014340 has 12 divisors (see below), whose sum is σ = 212396130156. Its totient is φ = 40456405728.

The previous prime is 101141014333. The next prime is 101141014343. The reversal of 101141014340 is 43410141101.

It can be written as a sum of positive squares in 2 ways, for example, as 60111270976 + 41029743364 = 245176^2 + 202558^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5057050717 = 101141014340 / (1 + 0 + 1 + 1 + 4 + 1 + 0 + 1 + 4 + 3 + 4 + 0).

It is not an unprimeable number, because it can be changed into a prime (101141014343) 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 3 ways as a sum of consecutive naturals, for example, 2528525339 + ... + 2528525378.

It is an arithmetic number, because the mean of its divisors is an integer number (17699677513).

Almost surely, 2101141014340 is an apocalyptic number.

101141014340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101141014340 is an abundant number, since it is smaller than the sum of its proper divisors (111255115816).

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

101141014340 is a wasteful number, since it uses less digits than its factorization.

101141014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057050726 (or 5057050724 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101141014340 its reverse (43410141101), we get a palindrome (144551155441).

The spelling of 101141014340 in words is "one hundred one billion, one hundred forty-one million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 5057050717 10114101434 20228202868 25285253585 50570507170 101141014340