Search a number
-
+
30121223012320 = 2551123232352233
BaseRepresentation
bin1101101100101001001001…
…10011000011111111100000
310221122120010211011211111011
412312110210303003333200
512422001231042343240
6144021255425030304
76226120662113206
oct666244463037740
9127576124154434
1030121223012320
11966338014a460
123465840785394
1313a655ab1733b
14761c36cd3076
153737c73136ea
hex1b6524cc3fe0

30121223012320 has 144 divisors (see below), whose sum is σ = 81152602583472. Its totient is φ = 10476946810880.

The previous prime is 30121223012233. The next prime is 30121223012327. The reversal of 30121223012320 is 2321032212103.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 30121223012291 and 30121223012300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121223012327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15245077 + ... + 17107156.

It is an arithmetic number, because the mean of its divisors is an integer number (563559740163).

Almost surely, 230121223012320 is an apocalyptic number.

It is an amenable number.

30121223012320 is an abundant number, since it is smaller than the sum of its proper divisors (51031379571152).

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

30121223012320 is a wasteful number, since it uses less digits than its factorization.

30121223012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32352305 (or 32352274 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 30121223012320 its reverse (2321032212103), we get a palindrome (32442255224423).

The spelling of 30121223012320 in words is "thirty trillion, one hundred twenty-one billion, two hundred twenty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 529 736 880 920 1012 1058 1265 1760 1840 2024 2116 2530 2645 3680 4048 4232 5060 5290 5819 8096 8464 10120 10580 11638 16928 20240 21160 23276 29095 40480 42320 46552 58190 84640 93104 116380 186208 232760 465520 931040 32352233 64704466 129408932 161761165 258817864 323522330 355874563 517635728 647044660 711749126 744101359 1035271456 1294089320 1423498252 1488202718 1779372815 2588178640 2846996504 2976405436 3558745630 3720506795 5176357280 5693993008 5952810872 7117491260 7441013590 8185114949 11387986016 11905621744 14234982520 14882027180 16370229898 17114331257 23811243488 28469965040 29764054360 32740459796 34228662514 40925574745 56939930080 59528108720 65480919592 68457325028 81851149490 85571656285 119056217440 130961839184 136914650056 163702298980 171143312570 188257643827 261923678368 273829300112 327404597960 342286625140 376515287654 547658600224 654809195920 684573250280 753030575308 941288219135 1309618391840 1369146500560 1506061150616 1882576438270 2738293001120 3012122301232 3765152876540 6024244602464 7530305753080 15060611506160 30121223012320