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131023231320 = 233553190110837
BaseRepresentation
bin111101000000110010…
…1111101100101011000
3110112012020022210010010
41322001211331211120
54121313421400240
6140105150321520
712315610043022
oct1720145754530
9415166283103
10131023231320
115062621aa53
12214874b92a0
13c480b86b57
1464ad343012
15361cad3280
hex1e8197d958

131023231320 has 128 divisors (see below), whose sum is σ = 400733749440. Its totient is φ = 34259097600.

The previous prime is 131023231309. The next prime is 131023231343. The reversal of 131023231320 is 23132320131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12084942 + ... + 12095778.

Almost surely, 2131023231320 is an apocalyptic number.

131023231320 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 131023231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200366874720).

131023231320 is an abundant number, since it is smaller than the sum of its proper divisors (269710518120).

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

131023231320 is a wasteful number, since it uses less digits than its factorization.

131023231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12805 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131023231320 its reverse (23132320131), we get a palindrome (154155551451).

The spelling of 131023231320 in words is "one hundred thirty-one billion, twenty-three million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 1901 2120 3180 3802 5703 6360 7604 9505 10837 11406 15208 19010 21674 22812 28515 32511 38020 43348 45624 54185 57030 65022 76040 86696 100753 108370 114060 130044 162555 201506 216740 228120 260088 302259 325110 403012 433480 503765 574361 604518 650220 806024 1007530 1148722 1209036 1300440 1511295 1723083 2015060 2297444 2418072 2871805 3022590 3446166 4030120 4594888 5743610 6045180 6892332 8615415 11487220 12090360 13784664 17230830 20601137 22974440 34461660 41202274 61803411 68923320 82404548 103005685 123606822 164809096 206011370 247213644 309017055 412022740 494427288 618034110 824045480 1091860261 1236068220 2183720522 2472136440 3275580783 4367441044 5459301305 6551161566 8734882088 10918602610 13102323132 16377903915 21837205220 26204646264 32755807830 43674410440 65511615660 131023231320