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131101111424 = 2719591078539
BaseRepresentation
bin111101000011000111…
…1000011010010000000
3110112101122212111112102
41322012033003102000
54121443341031144
6140121011445532
712320544026513
oct1720617032200
9415348774472
10131101111424
1150666183478
12214a95b68a8
13c49405435a
1464b9816d7a
153624868b4e
hex1e863c3480

131101111424 has 128 divisors (see below), whose sum is σ = 282229920000. Its totient is φ = 60470350848.

The previous prime is 131101111423. The next prime is 131101111499. The reversal of 131101111424 is 424111101131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 131101111396 and 131101111405.

It is not an unprimeable number, because it can be changed into a prime (131101111423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15348947 + ... + 15357485.

It is an arithmetic number, because the mean of its divisors is an integer number (2204921250).

Almost surely, 2131101111424 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 131101111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141114960000).

131101111424 is an abundant number, since it is smaller than the sum of its proper divisors (151128808576).

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

131101111424 is a wasteful number, since it uses less digits than its factorization.

131101111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8738 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 131101111424 its reverse (424111101131), we get a palindrome (555212212555).

The spelling of 131101111424 in words is "one hundred thirty-one billion, one hundred one million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 107 118 128 152 214 236 304 428 472 608 856 944 1121 1216 1712 1888 2033 2242 2432 3424 3776 4066 4484 6313 6848 7552 8132 8539 8968 12626 13696 16264 17078 17936 25252 32528 34156 35872 50504 65056 68312 71744 101008 119947 130112 136624 143488 162241 202016 239894 260224 273248 324482 404032 479788 503801 546496 648964 808064 913673 959576 1007602 1092992 1297928 1827346 1919152 2015204 2595856 3654692 3838304 4030408 5191712 7309384 7676608 8060816 9572219 10383424 14618768 15353216 16121632 17359787 19144438 20766848 29237536 32243264 34719574 38288876 53906707 58475072 64486528 69439148 76577752 107813414 116950144 138878296 153155504 215626828 277756592 306311008 431253656 555513184 612622016 862507312 1024227433 1111026368 1225244032 1725014624 2048454866 2222052736 3450029248 4096909732 6900058496 8193819464 16387638928 32775277856 65550555712 131101111424