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221243012013140 = 2251337113153203249
BaseRepresentation
bin110010010011100000100111…
…001000111101110001010100
31002000100121212220111022222022
4302103200213020331301110
5212444321142033410030
62102313345300552312
764413165041201615
oct6223404710756124
91060317786438868
10221243012013140
11645496a8540577
12209924650b2698
13965b184c3c360
143c8c30c9c9c0c
151a8a089c60de5
hexc9382723dc54

221243012013140 has 96 divisors (see below), whose sum is σ = 513879612372000. Its totient is φ = 79480803557376.

The previous prime is 221243012013131. The next prime is 221243012013143. The reversal of 221243012013140 is 41310210342122.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 137594354523844 + 83648657489296 = 11730062^2 + 9145964^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221243012013143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088430236 + ... + 1088633484.

It is an arithmetic number, because the mean of its divisors is an integer number (5352912628875).

Almost surely, 2221243012013140 is an apocalyptic number.

221243012013140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221243012013140 is an abundant number, since it is smaller than the sum of its proper divisors (292636600358860).

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

221243012013140 is a wasteful number, since it uses less digits than its factorization.

221243012013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316461 (or 316459 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 221243012013140 its reverse (41310210342122), we get a palindrome (262553222355262).

The spelling of 221243012013140 in words is "two hundred twenty-one trillion, two hundred forty-three billion, twelve million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 113153 203249 226306 406498 452612 565765 812996 1016245 1131530 1470989 2032490 2263060 2642237 2941978 4064980 4186661 5284474 5883956 7354945 7520213 8373322 10568948 13211185 14709890 15040426 16746644 20933305 26422370 29419780 30080852 37601065 41866610 52844740 54426593 75202130 83733220 97762769 108853186 150404260 195525538 217706372 272132965 391051076 488813845 544265930 977627690 1088531860 1955255380 22998234097 45996468194 91992936388 114991170485 229982340970 298977043261 459964681940 597954086522 850934661589 1195908173044 1494885216305 1701869323178 2989770432610 3403738646356 4254673307945 5979540865220 8509346615890 11062150600657 17018693231780 22124301201314 44248602402628 55310753003285 110621506006570 221243012013140