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21242102240 = 2551071240777
BaseRepresentation
bin10011110010001000…
…001100000111100000
32000211101202121012102
4103302020030013200
5322000434232430
613431455545532
71351253614142
oct236210140740
960741677172
1021242102240
1190106818a7
124149b2b2a8
132006b20788
141057254c92
15844d21345
hex4f220c1e0

21242102240 has 48 divisors (see below), whose sum is σ = 50653521072. Its totient is φ = 8417424384.

The previous prime is 21242102221. The next prime is 21242102263. The reversal of 21242102240 is 4220124212.

It is a super-2 number, since 2×212421022402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603269 + ... + 637508.

It is an arithmetic number, because the mean of its divisors is an integer number (1055281689).

Almost surely, 221242102240 is an apocalyptic number.

21242102240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21242102240 is an abundant number, since it is smaller than the sum of its proper divisors (29411418832).

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

21242102240 is a wasteful number, since it uses less digits than its factorization.

21242102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240899 (or 1240891 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21242102240 its reverse (4220124212), we get a palindrome (25462226452).

The spelling of 21242102240 in words is "twenty-one billion, two hundred forty-two million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 8560 17120 1240777 2481554 4963108 6203885 9926216 12407770 19852432 24815540 39704864 49631080 99262160 132763139 198524320 265526278 531052556 663815695 1062105112 1327631390 2124210224 2655262780 4248420448 5310525560 10621051120 21242102240