Search a number
-
+
130013223333210 = 23257946721798901
BaseRepresentation
bin11101100011111100001111…
…111111100010110101011010
3122001100010212002001012210200
4131203330033333202311122
5114020114040133130320
61140303130015523030
736246100606164360
oct3543741777426532
9561303762035720
10130013223333210
1138476331152188
12126b9525529476
13577126acc07c9
142416960461630
151006e20413290
hex763f0ffe2d5a

130013223333210 has 96 divisors (see below), whose sum is σ = 386365831742592. Its totient is φ = 29714167785600.

The previous prime is 130013223333137. The next prime is 130013223333221. The reversal of 130013223333210 is 12333322310031.

130013223333210 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 1 + 3 + 2 + 2 + 333 + 321 + 0 = 666.

It is a super-2 number, since 2×1300132233332102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4935241 + ... + 16863660.

It is an arithmetic number, because the mean of its divisors is an integer number (4024644080652).

Almost surely, 2130013223333210 is an apocalyptic number.

130013223333210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130013223333210 is an abundant number, since it is smaller than the sum of its proper divisors (256352608409382).

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

130013223333210 is a wasteful number, since it uses less digits than its factorization.

130013223333210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21808388 (or 21808385 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 130013223333210 its reverse (12333322310031), we get a palindrome (142346545643241).

The spelling of 130013223333210 in words is "one hundred thirty trillion, thirteen billion, two hundred twenty-three million, three hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 9467 18934 28401 47335 56802 66269 85203 94670 132538 142005 170406 198807 284010 331345 397614 426015 596421 662690 852030 994035 1192842 1988070 2982105 5964210 21798901 43597802 65396703 108994505 130793406 152592307 196190109 217989010 305184614 326983515 392380218 457776921 653967030 762961535 915553842 980950545 1373330763 1525923070 1961901090 2288884605 2746661526 4577769210 6866653815 13733307630 206370195767 412740391534 619110587301 1031850978835 1238221174602 1444591370369 1857331761903 2063701957670 2889182740738 3095552936505 3714663523806 4333774111107 6191105873010 7222956851845 8667548222214 9286658809515 13001322333321 14445913703690 18573317619030 21668870555535 26002644666642 43337741111070 65006611666605 130013223333210