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11234182920 = 2335594213769
BaseRepresentation
bin10100111011001110…
…00000011100001000
31001222221002121210220
422131213000130020
5141001422323140
65054431310040
7545251656612
oct123547003410
931887077726
1011234182920
1148454489a4
12221637b320
1310a05bc81c
1478802ddb2
1545b3ebbd0
hex29d9c0708

11234182920 has 128 divisors (see below), whose sum is σ = 34364304000. Its totient is φ = 2937231360.

The previous prime is 11234182919. The next prime is 11234182937. The reversal of 11234182920 is 2928143211.

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, 2978796 + ... + 2982564.

It is an arithmetic number, because the mean of its divisors is an integer number (268471125).

Almost surely, 211234182920 is an apocalyptic number.

11234182920 is a gapful number since it is divisible by the number (10) 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 11234182920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182152000).

11234182920 is an abundant number, since it is smaller than the sum of its proper divisors (23130121080).

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

11234182920 is a wasteful number, since it uses less digits than its factorization.

11234182920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 11234182920 in words is "eleven billion, two hundred thirty-four million, one hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 421 472 590 708 842 885 1180 1263 1416 1684 1770 2105 2360 2526 3368 3540 3769 4210 5052 6315 7080 7538 8420 10104 11307 12630 15076 16840 18845 22614 24839 25260 30152 37690 45228 49678 50520 56535 74517 75380 90456 99356 113070 124195 149034 150760 198712 222371 226140 248390 298068 372585 444742 452280 496780 596136 667113 745170 889484 993560 1111855 1334226 1490340 1586749 1778968 2223710 2668452 2980680 3173498 3335565 4447420 4760247 5336904 6346996 6671130 7933745 8894840 9520494 12693992 13342260 15867490 19040988 23801235 26684520 31734980 38081976 47602470 63469960 93618191 95204940 187236382 190409880 280854573 374472764 468090955 561709146 748945528 936181910 1123418292 1404272865 1872363820 2246836584 2808545730 3744727640 5617091460 11234182920