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20130131424 = 2531323716803
BaseRepresentation
bin10010101111110110…
…010110110111100000
31220221220101122000010
4102233312112313200
5312211303201144
613125254324520
71311562202544
oct225766266740
956856348003
1020130131424
11859aa30757
123a99659740
131b8a63b190
14d8d6bba24
157cc3c35b9
hex4afd96de0

20130131424 has 96 divisors (see below), whose sum is σ = 56938702464. Its totient is φ = 6190364160.

The previous prime is 20130131423. The next prime is 20130131431. The reversal of 20130131424 is 42413103102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×201301314242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20130131424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130131423) 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, 2955607 + ... + 2962409.

It is an arithmetic number, because the mean of its divisors is an integer number (593111484).

Almost surely, 220130131424 is an apocalyptic number.

20130131424 is a gapful number since it is divisible by the number (24) 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 20130131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28469351232).

20130131424 is an abundant number, since it is smaller than the sum of its proper divisors (36808571040).

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

20130131424 is a wasteful number, since it uses less digits than its factorization.

20130131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9200 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20130131424 its reverse (42413103102), we get a palindrome (62543234526).

The spelling of 20130131424 in words is "twenty billion, one hundred thirty million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2371 4742 6803 7113 9484 13606 14226 18968 20409 27212 28452 30823 37936 40818 54424 56904 61646 75872 81636 88439 92469 108848 113808 123292 163272 176878 184938 217696 227616 246584 265317 326544 353756 369876 493168 530634 653088 707512 739752 986336 1061268 1415024 1479504 2122536 2830048 2959008 4245072 8490144 16129913 32259826 48389739 64519652 96779478 129039304 193558956 209688869 258078608 387117912 419377738 516157216 629066607 774235824 838755476 1258133214 1548471648 1677510952 2516266428 3355021904 5032532856 6710043808 10065065712 20130131424