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101231414424 = 23327615096469
BaseRepresentation
bin101111001000111011…
…1001100110010011000
3100200021222202200021100
41132101313030302120
53124310220230144
6114301032311400
710212415553010
oct1362167146230
9320258680240
10101231414424
1139a28548a78
1217752242560
13971398292a
144c8480ac40
1529773cd269
hex1791dccc98

101231414424 has 192 divisors, whose sum is σ = 319146984000. Its totient is φ = 28388828160.

The previous prime is 101231414387. The next prime is 101231414437. The reversal of 101231414424 is 424414132101.

101231414424 is a `hidden beast` number, since 1 + 0 + 1 + 231 + 4 + 1 + 4 + 424 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15645462 + ... + 15651930.

It is an arithmetic number, because the mean of its divisors is an integer number (1662223875).

Almost surely, 2101231414424 is an apocalyptic number.

101231414424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101231414424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159573492000).

101231414424 is an abundant number, since it is smaller than the sum of its proper divisors (217915569576).

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

101231414424 is a wasteful number, since it uses less digits than its factorization.

101231414424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058 (or 7051 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101231414424 its reverse (424414132101), we get a palindrome (525645546525).

The spelling of 101231414424 in words is "one hundred one billion, two hundred thirty-one million, four hundred fourteen thousand, four hundred twenty-four".