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30221111100 = 223521094671979
BaseRepresentation
bin11100001001010100…
…011000111100111100
32220000011100111210010
4130021110120330330
5443343101023400
621514451143220
72116623130425
oct341124307474
986004314703
1030221111100
11118a9036084
125a34ba4b10
132b0813147b
14166996464c
15bbd253450
hex709518f3c

30221111100 has 144 divisors (see below), whose sum is σ = 88475587200. Its totient is φ = 7963902720.

The previous prime is 30221111099. The next prime is 30221111147. The reversal of 30221111100 is 111112203.

It is a super-2 number, since 2×302211111002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15269911 + ... + 15271889.

It is an arithmetic number, because the mean of its divisors is an integer number (614413800).

Almost surely, 230221111100 is an apocalyptic number.

30221111100 is a gapful number since it is divisible by the number (30) 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 30221111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44237793600).

30221111100 is an abundant number, since it is smaller than the sum of its proper divisors (58254476100).

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

30221111100 is a wasteful number, since it uses less digits than its factorization.

30221111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 30221111100 its reverse (111112203), we get a palindrome (30332223303).

The spelling of 30221111100 in words is "thirty billion, two hundred twenty-one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 467 545 654 934 1090 1308 1401 1635 1868 1979 2180 2335 2725 2802 3270 3958 4670 5450 5604 5937 6540 7005 7916 8175 9340 9895 10900 11675 11874 14010 16350 19790 23350 23748 28020 29685 32700 35025 39580 46700 49475 50903 59370 70050 98950 101806 118740 140100 148425 152709 197900 203612 215711 254515 296850 305418 431422 509030 593700 610836 647133 763545 862844 924193 1018060 1078555 1272575 1294266 1527090 1848386 2157110 2545150 2588532 2772579 3054180 3235665 3696772 3817725 4314220 4620965 5090300 5392775 5545158 6471330 7635450 9241930 10785550 11090316 12942660 13862895 15270900 16178325 18483860 21571100 23104825 27725790 32356650 46209650 55451580 64713300 69314475 92419300 100737037 138628950 201474074 277257900 302211111 402948148 503685185 604422222 1007370370 1208844444 1511055555 2014740740 2518425925 3022111110 5036851850 6044222220 7555277775 10073703700 15110555550 30221111100