Search a number
-
+
330130032434020 = 225713261228739127
BaseRepresentation
bin100101100010000000110001…
…1010100000001101101100100
31121021220010022120121102002001
41023010001203110001231210
5321232322301300342040
63130043350533455044
7126352051646500420
oct11304014324015544
91537803276542061
10330130032434020
119620a3a6922885
12310394b3aa1484
1311229189363700
145b745436d1b80
15282768e25659a
hex12c4063501b64

330130032434020 has 144 divisors (see below), whose sum is σ = 872012113152768. Its totient is φ = 102767914529280.

The previous prime is 330130032434017. The next prime is 330130032434051. The reversal of 330130032434020 is 20434230031033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 330130032434020.

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, 112926304 + ... + 115812823.

It is an arithmetic number, because the mean of its divisors is an integer number (6055639674672).

Almost surely, 2330130032434020 is an apocalyptic number.

It is an amenable number.

330130032434020 is an abundant number, since it is smaller than the sum of its proper divisors (541882080718748).

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

330130032434020 is a wasteful number, since it uses less digits than its factorization.

330130032434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228739230 (or 228739215 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 330130032434020 its reverse (20434230031033), we get a palindrome (350564262465053).

The spelling of 330130032434020 in words is "three hundred thirty trillion, one hundred thirty billion, thirty-two million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 61 65 70 91 122 130 140 169 182 244 260 305 338 364 427 455 610 676 793 845 854 910 1183 1220 1586 1690 1708 1820 2135 2366 3172 3380 3965 4270 4732 5551 5915 7930 8540 10309 11102 11830 15860 20618 22204 23660 27755 41236 51545 55510 72163 103090 111020 144326 206180 288652 360815 721630 1443260 228739127 457478254 914956508 1143695635 1601173889 2287391270 2973608651 3202347778 4574782540 5947217302 6404695556 8005869445 11894434604 13953086747 14868043255 16011738890 20815260557 27906173494 29736086510 32023477780 38656912463 41630521114 55812346988 59472173020 69765433735 77313824926 83261042228 97671607229 104076302785 139530867470 154627649852 181390127711 193284562315 195343214458 208152605570 270598387241 279061734940 362780255422 386569124630 390686428916 416305211140 488358036145 541196774482 725560510844 773138249260 906950638555 976716072290 1082393548964 1269730893977 1352991936205 1813901277110 1953432144580 2358071660243 2539461787954 2705983872410 3627802554220 4716143320486 5078923575908 5411967744820 6348654469885 9432286640972 11790358301215 12697308939770 16506501621701 23580716602430 25394617879540 33013003243402 47161433204860 66026006486804 82532508108505 165065016217010 330130032434020