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30220311131100 = 223252283118650613
BaseRepresentation
bin1101101111100001101101…
…11010001111001111011100
310222000000220102221210212100
412313300312322033033130
512430112144122143400
6144135004055205100
76236226324166656
oct667606672171734
9128000812853770
1030220311131100
1196a13a8878712
123480a95076790
1313b29bc73049c
14766956bc36d6
15376176476100
hex1b7c36e8f3dc

30220311131100 has 108 divisors (see below), whose sum is σ = 95058600514696. Its totient is φ = 8030273420160.

The previous prime is 30220311131093. The next prime is 30220311131107. The reversal of 30220311131100 is 113111302203.

30220311131100 is a `hidden beast` number, since 3 + 0 + 220 + 311 + 1 + 31 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (30220311131093) and next prime (30220311131107).

It is a super-2 number, since 2×302203111311002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30220311131107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59070607 + ... + 59580006.

Almost surely, 230220311131100 is an apocalyptic number.

30220311131100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30220311131100 is an abundant number, since it is smaller than the sum of its proper divisors (64838289383596).

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

30220311131100 is a wasteful number, since it uses less digits than its factorization.

30220311131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118650916 (or 118650906 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30220311131100 its reverse (113111302203), we get a palindrome (30333422433303).

The spelling of 30220311131100 in words is "thirty trillion, two hundred twenty billion, three hundred eleven million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 283 300 450 566 849 900 1132 1415 1698 2547 2830 3396 4245 5094 5660 7075 8490 10188 12735 14150 16980 21225 25470 28300 42450 50940 63675 84900 127350 254700 118650613 237301226 355951839 474602452 593253065 711903678 1067855517 1186506130 1423807356 1779759195 2135711034 2373012260 2966265325 3559518390 4271422068 5339277585 5932530650 7119036780 8898795975 10678555170 11865061300 17797591950 21357110340 26696387925 33578123479 35595183900 53392775850 67156246958 100734370437 106785551700 134312493916 167890617395 201468740874 302203111311 335781234790 402937481748 503671852185 604406222622 671562469580 839453086975 1007343704370 1208812445244 1511015556555 1678906173950 2014687408740 2518359260925 3022031113110 3357812347900 5036718521850 6044062226220 7555077782775 10073437043700 15110155565550 30220311131100