Search a number
-
+
1321380430920 = 2333511111227309
BaseRepresentation
bin10011001110101000011…
…010010100010001001000
311200022201021101212201000
4103032220122110101020
5133122141342242140
62451011144255000
7164316016225254
oct23165032242110
94608637355630
101321380430920
1146a437894410
12194113771460
13977b478b5b4
1447d52d2b264
152458ae6ca30
hex133a8694448

1321380430920 has 128 divisors (see below), whose sum is σ = 4805019792000. Its totient is φ = 320334647040.

The previous prime is 1321380430919. The next prime is 1321380430927. The reversal of 1321380430920 is 290340831231.

1321380430920 is a `hidden beast` number, since 1 + 3 + 2 + 138 + 0 + 430 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1321380430927) 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, 55601775 + ... + 55625534.

It is an arithmetic number, because the mean of its divisors is an integer number (37539217125).

Almost surely, 21321380430920 is an apocalyptic number.

1321380430920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321380430920 is an abundant number, since it is smaller than the sum of its proper divisors (3483639361080).

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

1321380430920 is a wasteful number, since it uses less digits than its factorization.

1321380430920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111227340 (or 111227330 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1321380430920 in words is "one trillion, three hundred twenty-one billion, three hundred eighty million, four hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 111227309 222454618 333681927 444909236 556136545 667363854 889818472 1001045781 1112273090 1223500399 1334727708 1668409635 2002091562 2224546180 2447000798 2669455416 3003137343 3336819270 3670501197 4004183124 4449092360 4894001596 5005228905 6006274686 6117501995 6673638540 7341002394 8008366248 9788003192 10010457810 11011503591 12012549372 12235003990 13347277080 14682004788 15015686715 18352505985 20020915620 22023007182 24025098744 24470007980 29364009576 30031373430 33034510773 36705011970 40041831240 44046014364 48940015960 55057517955 60062746860 66069021546 73410023940 88092028728 110115035910 120125493720 132138043092 146820047880 165172553865 220230071820 264276086184 330345107730 440460143640 660690215460 1321380430920