Search a number
-
+
313220331000 = 23335311600753
BaseRepresentation
bin1001000111011010110…
…00101111010111111000
31002221110212022102112000
410203231120233113320
520112433401043000
6355520314421000
731425614612403
oct4435530572770
91087425272460
10313220331000
11110921790695
1250854a31760
13236c8a55885
1411234c62d3a
158233134000
hex48ed62f5f8

313220331000 has 128 divisors (see below), whose sum is σ = 1085830574400. Its totient is φ = 83525414400.

The previous prime is 313220330989. The next prime is 313220331041. The reversal of 313220331000 is 133022313.

313220331000 is a `hidden beast` number, since 31 + 322 + 0 + 3 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×3132203310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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, 5773377 + ... + 5827376.

Almost surely, 2313220331000 is an apocalyptic number.

313220331000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313220331000 is an abundant number, since it is smaller than the sum of its proper divisors (772610243400).

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

313220331000 is a wasteful number, since it uses less digits than its factorization.

313220331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11600783 (or 11600763 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313220331000 its reverse (133022313), we get a palindrome (313353353313).

The spelling of 313220331000 in words is "three hundred thirteen billion, two hundred twenty million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 11600753 23201506 34802259 46403012 58003765 69604518 92806024 104406777 116007530 139209036 174011295 208813554 232015060 278418072 290018825 313220331 348022590 417627108 464030120 522033885 580037650 626440662 696045180 835254216 870056475 1044067770 1160075300 1252881324 1392090360 1450094125 1566101655 1740112950 2088135540 2320150600 2505762648 2610169425 2900188250 3132203310 3480225900 4176271080 4350282375 5220338850 5800376500 6264406620 6960451800 7830508275 8700564750 10440677700 11600753000 12528813240 13050847125 15661016550 17401129500 20881355400 26101694250 31322033100 34802259000 39152541375 52203388500 62644066200 78305082750 104406777000 156610165500 313220331000