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13122212030100 = 22325217857660917
BaseRepresentation
bin1011111011110100000011…
…0010010110011010010100
31201110110201111222220121200
42332331000302112122110
53204443242234430400
643524132212312500
72523022434616215
oct276750062263224
951413644886550
1013122212030100
1141aa10a660868
12157b20a312730
1374255b226a24
1433519305b40c
1517b513933b00
hexbef40c96694

13122212030100 has 108 divisors (see below), whose sum is σ = 43550306094204. Its totient is φ = 3293417917440.

The previous prime is 13122212030089. The next prime is 13122212030197. The reversal of 13122212030100 is 103021222131.

13122212030100 is a `hidden beast` number, since 1 + 312 + 221 + 2 + 0 + 30 + 100 = 666.

13122212030100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1274049472644 + 11848162557456 = 1128738^2 + 3442116^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 428815159 + ... + 428845758.

Almost surely, 213122212030100 is an apocalyptic number.

13122212030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122212030100 is an abundant number, since it is smaller than the sum of its proper divisors (30428094064104).

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

13122212030100 is a wasteful number, since it uses less digits than its factorization.

13122212030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857660954 (or 857660944 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13122212030100 its reverse (103021222131), we get a palindrome (13225233252231).

The spelling of 13122212030100 in words is "thirteen trillion, one hundred twenty-two billion, two hundred twelve million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 857660917 1715321834 2572982751 3430643668 4288304585 5145965502 7718948253 8576609170 10291931004 12864913755 14580235589 15437896506 17153218340 21441522925 25729827510 29160471178 30875793012 38594741265 42883045850 43740706767 51459655020 58320942356 64324568775 72901177945 77189482530 85766091700 87481413534 128649137550 131222120301 145802355890 154378965060 174962827068 192973706325 218703533835 257298275100 262444240602 291604711780 364505889725 385947412650 437407067670 524888481204 656110601505 729011779450 771894825300 874814135340 1093517669175 1312221203010 1458023558900 2187035338350 2624442406020 3280553007525 4374070676700 6561106015050 13122212030100