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101143131414 = 23131968247727
BaseRepresentation
bin101111000110010011…
…0011011010100010110
3100200001211122102202020
41132030212123110112
53124120120201124
6114244200154010
710210264301103
oct1361446332426
9320054572666
10101143131414
113999272a706
1217728768906
1396cb5b2370
144c76bc9aaa
15296e790379
hex178c99b516

101143131414 has 32 divisors (see below), whose sum is σ = 229312366080. Its totient is φ = 29483017632.

The previous prime is 101143131413. The next prime is 101143131449. The reversal of 101143131414 is 414131341101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101143131413) 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 15 ways as a sum of consecutive naturals, for example, 34122382 + ... + 34125345.

It is an arithmetic number, because the mean of its divisors is an integer number (7166011440).

Almost surely, 2101143131414 is an apocalyptic number.

101143131414 is an abundant number, since it is smaller than the sum of its proper divisors (128169234666).

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

101143131414 is a wasteful number, since it uses less digits than its factorization.

101143131414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68247764.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 101143131414 its reverse (414131341101), we get a palindrome (515274472515).

The spelling of 101143131414 in words is "one hundred one billion, one hundred forty-three million, one hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 68247727 136495454 204743181 409486362 887220451 1296706813 1774440902 2593413626 2661661353 3890120439 5323322706 7780240878 16857188569 33714377138 50571565707 101143131414