Search a number
-
+
23130068080 = 2457174356503
BaseRepresentation
bin10101100010101010…
…001101010001110000
32012200222022012110011
4111202222031101300
5334332244134310
614343101344304
71446120222550
oct254252152160
965628265404
1023130068080
11989a358549
124596268094
132247ccc922
141195ca9160
1590595378a
hex562a8d470

23130068080 has 160 divisors (see below), whose sum is σ = 66589737984. Its totient is φ = 7290114048.

The previous prime is 23130068069. The next prime is 23130068083. The reversal of 23130068080 is 8086003132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130068083) 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, 381109 + ... + 437611.

Almost surely, 223130068080 is an apocalyptic number.

23130068080 is a gapful number since it is divisible by the number (20) 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 23130068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33294868992).

23130068080 is an abundant number, since it is smaller than the sum of its proper divisors (43459669904).

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

23130068080 is a wasteful number, since it uses less digits than its factorization.

23130068080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56583 (or 56577 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 23130068080 in words is "twenty-three billion, one hundred thirty million, sixty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 43 56 68 70 80 85 86 112 119 136 140 170 172 215 238 272 280 301 340 344 430 476 560 595 602 680 688 731 860 952 1190 1204 1360 1462 1505 1720 1904 2380 2408 2924 3010 3440 3655 4760 4816 5117 5848 6020 7310 9520 10234 11696 12040 14620 20468 24080 25585 29240 40936 51170 56503 58480 81872 102340 113006 204680 226012 282515 395521 409360 452024 565030 791042 904048 960551 1130060 1582084 1921102 1977605 2260120 2429629 3164168 3842204 3955210 4520240 4802755 4859258 6328336 6723857 7684408 7910420 9605510 9718516 12148145 13447714 15368816 15820840 17007403 19211020 19437032 24296290 26895428 31641680 33619285 34014806 38422040 38874064 41303693 48592580 53790856 67238570 68029612 76844080 82607386 85037015 97185160 107581712 134477140 136059224 165214772 170074030 194370320 206518465 268954280 272118448 289125851 330429544 340148060 413036930 537908560 578251702 660859088 680296120 826073860 1156503404 1360592240 1445629255 1652147720 2313006808 2891258510 3304295440 4626013616 5782517020 11565034040 23130068080