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131231010024 = 233223109372503
BaseRepresentation
bin111101000110111111…
…0100100110011101000
3110112201201022000220200
41322031332210303220
54122230114310044
6140141531552200
712324012115602
oct1721576446350
9415651260820
10131231010024
1150722536194
1221524bbb660
13c4b4c3592a
1464ccb8c172
153630e77369
hex1e8dfa4ce8

131231010024 has 96 divisors (see below), whose sum is σ = 371214679680. Its totient is φ = 41802913152.

The previous prime is 131231010019. The next prime is 131231010091. The reversal of 131231010024 is 420010132131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131231009979 and 131231010006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1773757 + ... + 1846259.

It is an arithmetic number, because the mean of its divisors is an integer number (3866819580).

Almost surely, 2131231010024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131231010024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185607339840).

131231010024 is an abundant number, since it is smaller than the sum of its proper divisors (239983669656).

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

131231010024 is a wasteful number, since it uses less digits than its factorization.

131231010024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73631 (or 73624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131231010024 its reverse (420010132131), we get a palindrome (551241142155).

The spelling of 131231010024 in words is "one hundred thirty-one billion, two hundred thirty-one million, ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1093 1656 2186 3279 4372 6558 8744 9837 13116 19674 25139 26232 39348 50278 72503 75417 78696 100556 145006 150834 201112 217509 226251 290012 301668 435018 452502 580024 603336 652527 870036 905004 1305054 1667569 1740072 1810008 2610108 3335138 5002707 5220216 6670276 10005414 13340552 15008121 20010828 30016242 40021656 60032484 79245779 120064968 158491558 237737337 316983116 475474674 633966232 713212011 950949348 1426424022 1822652917 1901898696 2852848044 3645305834 5467958751 5705696088 7290611668 10935917502 14581223336 16403876253 21871835004 32807752506 43743670008 65615505012 131231010024