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22313520221000 = 2353171312560013
BaseRepresentation
bin1010001001011010001010…
…11100100100101101001000
32221000011002120220202212212
411010231011130210231020
510411041042134033000
6115242404545324252
74462045555313261
oct504550534445510
987004076822785
1022313520221000
1171231244a8288
122604614936688
13c5b204760678
14571da1715968
1528a65c483c35
hex144b45724b48

22313520221000 has 64 divisors (see below), whose sum is σ = 55285027789680. Its totient is φ = 8400384076800.

The previous prime is 22313520220987. The next prime is 22313520221039. The reversal of 22313520221000 is 12202531322.

It can be written as a sum of positive squares in 8 ways, for example, as 2785941544996 + 19527578676004 = 1669114^2 + 4419002^2 .

It is a super-3 number, since 3×223135202210003 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656263007 + ... + 656297006.

Almost surely, 222313520221000 is an apocalyptic number.

22313520221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22313520221000 is an abundant number, since it is smaller than the sum of its proper divisors (32971507568680).

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

22313520221000 is a wasteful number, since it uses less digits than its factorization.

22313520221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312560051 (or 1312560037 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 22313520221000 its reverse (12202531322), we get a palindrome (22325722752322).

The spelling of 22313520221000 in words is "twenty-two trillion, three hundred thirteen billion, five hundred twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 1312560013 2625120026 5250240052 6562800065 10500480104 13125600130 22313520221 26251200260 32814000325 44627040442 52502400520 65628000650 89254080884 111567601105 131256001300 164070001625 178508161768 223135202210 262512002600 328140003250 446270404420 557838005525 656280006500 892540808840 1115676011050 1312560013000 2231352022100 2789190027625 4462704044200 5578380055250 11156760110500 22313520221000