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131110104444 = 223117321376367
BaseRepresentation
bin111101000011011000…
…1010110110101111100
3110112102021210101122020
41322012301112311330
54122003141320234
6140121532320140
712321013333314
oct1720661266574
9415367711566
10131110104444
1150670266020
12214b0613050
13c495b82777
1464baab8444
153625543549
hex1e86c56d7c

131110104444 has 96 divisors (see below), whose sum is σ = 338517989376. Its totient is φ = 39161594880.

The previous prime is 131110104421. The next prime is 131110104451. The reversal of 131110104444 is 444401011131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20588949 + ... + 20595315.

It is an arithmetic number, because the mean of its divisors is an integer number (3526229056).

Almost surely, 2131110104444 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 131110104444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169258994688).

131110104444 is an abundant number, since it is smaller than the sum of its proper divisors (207407884932).

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

131110104444 is a wasteful number, since it uses less digits than its factorization.

131110104444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 131110104444 its reverse (444401011131), we get a palindrome (575511115575).

The spelling of 131110104444 in words is "one hundred thirty-one billion, one hundred ten million, one hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2137 2409 3212 4274 4818 6367 6411 8548 9636 12734 12822 19101 23507 25468 25644 38202 47014 70037 70521 76404 94028 140074 141042 156001 210111 280148 282084 312002 420222 464791 468003 624004 840444 929582 936006 1394373 1716011 1859164 1872012 2788746 3432022 5112701 5148033 5577492 6864044 10225402 10296066 13606279 15338103 20450804 20592132 27212558 30676206 40818837 54425116 61352412 81637674 149669069 163275348 299338138 449007207 598676276 898014414 993258367 1796028828 1986516734 2979775101 3973033468 5959550202 10925842037 11919100404 21851684074 32777526111 43703368148 65555052222 131110104444