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131102224540 = 225767131106693
BaseRepresentation
bin111101000011001001…
…1010011000010011100
3110112101201222001102221
41322012103103002130
54121444132141130
6140121051355124
712320556343660
oct1720623230234
9415351861387
10131102224540
1150666873801
12214a9a52aa4
13c494353bc1
1464b9a268a0
1536249d887a
hex1e864d309c

131102224540 has 96 divisors (see below), whose sum is σ = 321782275584. Its totient is φ = 43940033280.

The previous prime is 131102224531. The next prime is 131102224541. The reversal of 131102224540 is 45422201131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131102224541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175434 + ... + 1282126.

It is an arithmetic number, because the mean of its divisors is an integer number (3351898704).

Almost surely, 2131102224540 is an apocalyptic number.

131102224540 is a gapful number since it is divisible by the number (10) 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 131102224540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160891137792).

131102224540 is an abundant number, since it is smaller than the sum of its proper divisors (190680051044).

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

131102224540 is a wasteful number, since it uses less digits than its factorization.

131102224540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106907 (or 106905 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 131102224540 its reverse (45422201131), we get a palindrome (176524425671).

The spelling of 131102224540 in words is "one hundred thirty-one billion, one hundred two million, two hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 131 134 140 262 268 335 469 524 655 670 917 938 1310 1340 1834 1876 2345 2620 3668 4585 4690 8777 9170 9380 17554 18340 35108 43885 61439 87770 106693 122878 175540 213386 245756 307195 426772 533465 614390 746851 1066930 1228780 1493702 2133860 2987404 3734255 7148431 7468510 13976783 14296862 14937020 27953566 28593724 35742155 50039017 55907132 69883915 71484310 97837481 100078034 139767830 142968620 195674962 200156068 250195085 279535660 391349924 489187405 500390170 936444461 978374810 1000780340 1872888922 1956749620 3745777844 4682222305 6555111227 9364444610 13110222454 18728889220 26220444908 32775556135 65551112270 131102224540