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130433334020 = 225111757376079
BaseRepresentation
bin111100101111001101…
…1101011101100000100
3110110200010022220010222
41321132123223230010
54114111413142040
6135530435003512
712265155021563
oct1713633535404
9413603286128
10130433334020
1150353242420
1221341a39598
13c3b88b77b2
146454c69bda
1535d5e0dbb5
hex1e5e6ebb04

130433334020 has 96 divisors (see below), whose sum is σ = 316495226880. Its totient is φ = 44625162240.

The previous prime is 130433334013. The next prime is 130433334043. The reversal of 130433334020 is 20433334031.

It is a happy 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, 21453341 + ... + 21459419.

It is an arithmetic number, because the mean of its divisors is an integer number (3296825280).

Almost surely, 2130433334020 is an apocalyptic number.

130433334020 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 130433334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158247613440).

130433334020 is an abundant number, since it is smaller than the sum of its proper divisors (186061892860).

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

130433334020 is a wasteful number, since it uses less digits than its factorization.

130433334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11853 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 130433334020 its reverse (20433334031), we get a palindrome (150866668051).

The spelling of 130433334020 in words is "one hundred thirty billion, four hundred thirty-three million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 5737 6079 11474 12158 22948 24316 28685 30395 57370 60790 63107 66869 97529 103343 114740 121580 126214 133738 195058 206686 252428 267476 315535 334345 390116 413372 487645 516715 631070 668690 975290 1033430 1072819 1136773 1262140 1337380 1950580 2066860 2145638 2273546 4291276 4547092 5364095 5683865 10728190 11367730 21456380 22735460 34875223 69750446 139500892 174376115 348752230 383627453 592878791 697504460 767254906 1185757582 1534509812 1918137265 2371515164 2964393955 3836274530 5928787910 6521666701 7672549060 11857575820 13043333402 26086666804 32608333505 65216667010 130433334020