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130131200020 = 225377911319699
BaseRepresentation
bin111100100110001101…
…1001000100000010100
3110102220001210220012211
41321030123020200110
54113002041400040
6135440443123204
712254525643463
oct1711433104024
9412801726184
10130131200020
11502087406a8
1221278813504
13c36b120593
146426a9c9da
1535b962c8ea
hex1e4c6c8814

130131200020 has 96 divisors (see below), whose sum is σ = 286743744000. Its totient is φ = 49559537664.

The previous prime is 130131199997. The next prime is 130131200029. The reversal of 130131200020 is 20002131031.

130131200020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131200029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6596131 + ... + 6615829.

It is an arithmetic number, because the mean of its divisors is an integer number (2986914000).

Almost surely, 2130131200020 is an apocalyptic number.

130131200020 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 130131200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143371872000).

130131200020 is an abundant number, since it is smaller than the sum of its proper divisors (156612543980).

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

130131200020 is a wasteful number, since it uses less digits than its factorization.

130131200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19937 (or 19935 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 130131200020 its reverse (20002131031), we get a palindrome (150133331051).

The spelling of 130131200020 in words is "one hundred thirty billion, one hundred thirty-one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 79 113 148 158 185 226 316 370 395 452 565 740 790 1130 1580 2260 2923 4181 5846 8362 8927 11692 14615 16724 17854 19699 20905 29230 35708 39398 41810 44635 58460 78796 83620 89270 98495 178540 196990 330299 393980 660598 728863 1321196 1457726 1556221 1651495 2225987 2915452 3112442 3302990 3644315 4451974 6224884 6605980 7288630 7781105 8903948 11129935 14577260 15562210 22259870 31124420 44519740 57580177 82361519 115160354 164723038 175852973 230320708 287900885 329446076 351705946 411807595 575801770 703411892 823615190 879264865 1151603540 1647230380 1758529730 3517059460 6506560001 13013120002 26026240004 32532800005 65065600010 130131200020