Search a number
-
+
30032223120 = 2433517817871
BaseRepresentation
bin11011111110000011…
…110101101110010000
32212111222221000012000
4123332003311232100
5443001222114440
621444022434000
72112140453544
oct337603655620
985458830160
1030032223120
1111811452809
1259a1892900
132aa7c67c33
14164c835a24
15bab891730
hex6fe0f5b90

30032223120 has 160 divisors (see below), whose sum is σ = 109529418240. Its totient is φ = 7537489920.

The previous prime is 30032223119. The next prime is 30032223131. The reversal of 30032223120 is 2132223003.

It is a happy number.

30032223120 is a `hidden beast` number, since 30 + 0 + 322 + 2 + 312 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30032223093 and 30032223102.

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, 372216 + ... + 445655.

It is an arithmetic number, because the mean of its divisors is an integer number (684558864).

Almost surely, 230032223120 is an apocalyptic number.

30032223120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30032223120 is an abundant number, since it is smaller than the sum of its proper divisors (79497195120).

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

30032223120 is a wasteful number, since it uses less digits than its factorization.

30032223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817910 (or 817898 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30032223120 its reverse (2132223003), we get a palindrome (32164446123).

The spelling of 30032223120 in words is "thirty billion, thirty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 817871 1635742 2453613 3271484 4089355 4907226 6542968 7360839 8178710 9814452 12268065 13085936 13903807 14721678 16357420 19628904 22082517 24536130 27807614 29443356 32714840 36804195 39257808 41711421 44165034 49072260 55615228 58886712 65429680 69519035 73608390 83422842 88330068 98144520 110412585 111230456 117773424 125134263 139038070 147216780 166845684 176660136 196289040 208557105 220825170 222460912 250268526 278076140 294433560 333691368 353320272 375402789 417114210 441650340 500537052 556152280 588867120 625671315 667382736 750805578 834228420 883300680 1001074104 1112304560 1251342630 1501611156 1668456840 1766601360 1877013945 2002148208 2502685260 3003222312 3336913680 3754027890 5005370520 6006444624 7508055780 10010741040 15016111560 30032223120