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130132323020 = 22577131741299
BaseRepresentation
bin111100100110001111…
…1011010101011001100
3110102220010220221200102
41321030133122223030
54113002333314040
6135440523150232
712254541331520
oct1711437325314
9412803827612
10130132323020
11502093383a7
1221279075378
13c36b42478b
146426cb1d80
1535b97a0515
hex1e4c7daacc

130132323020 has 96 divisors (see below), whose sum is σ = 317723212800. Its totient is φ = 43848564480.

The previous prime is 130132322981. The next prime is 130132323049. The reversal of 130132323020 is 20323231031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130132322983 and 130132323001.

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, 3130331 + ... + 3171629.

It is an arithmetic number, because the mean of its divisors is an integer number (3309616800).

Almost surely, 2130132323020 is an apocalyptic number.

130132323020 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 130132323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158861606400).

130132323020 is an abundant number, since it is smaller than the sum of its proper divisors (187590889780).

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

130132323020 is a wasteful number, since it uses less digits than its factorization.

130132323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41703 (or 41701 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 130132323020 its reverse (20323231031), we get a palindrome (150455554051).

The spelling of 130132323020 in words is "one hundred thirty billion, one hundred thirty-two million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 317 355 497 634 710 994 1268 1420 1585 1988 2219 2485 3170 4438 4970 6340 8876 9940 11095 22190 22507 41299 44380 45014 82598 90028 112535 157549 165196 206495 225070 289093 315098 412990 450140 578186 630196 787745 825980 1156372 1445465 1575490 2890930 2932229 3150980 5781860 5864458 11728916 13091783 14661145 20525603 26183566 29322290 41051206 52367132 58644580 65458915 82102412 91642481 102628015 130917830 183284962 205256030 261835660 366569924 410512060 458212405 916424810 929516593 1832849620 1859033186 3718066372 4647582965 6506616151 9295165930 13013232302 18590331860 26026464604 32533080755 65066161510 130132323020