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1110221210021 = 71127144941117
BaseRepresentation
bin10000001001111110010…
…101110100000110100101
310221010200020002000221212
4100021332111310012211
5121142213112210041
62210010101321205
7143132213402450
oct20117625640645
93833606060855
101110221210021
11398929a25400
1215b202a06205
1380902567b41
143ba40b70497
151dd2cea78eb
hex1027e5741a5

1110221210021 has 48 divisors (see below), whose sum is σ = 1417485484800. Its totient is φ = 851002521600.

The previous prime is 1110221209967. The next prime is 1110221210023. The reversal of 1110221210021 is 1200121220111.

It is a de Polignac number, because none of the positive numbers 2k-1110221210021 is a prime.

It is a super-2 number, since 2×11102212100212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1110221209978 and 1110221210005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110221210023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26980955 + ... + 27022071.

It is an arithmetic number, because the mean of its divisors is an integer number (29530947600).

Almost surely, 21110221210021 is an apocalyptic number.

1110221210021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110221210021 is a deficient number, since it is larger than the sum of its proper divisors (307264274779).

1110221210021 is a wasteful number, since it uses less digits than its factorization.

1110221210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41666 (or 41655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1110221210021 its reverse (1200121220111), we get a palindrome (2310342430132).

The spelling of 1110221210021 in words is "one trillion, one hundred ten billion, two hundred twenty-one million, two hundred ten thousand, twenty-one".

Divisors: 1 7 11 71 77 121 449 497 781 847 3143 4939 5467 8591 31879 34573 41117 54329 60137 223153 287819 350669 380303 452287 2454683 2919307 3166009 3857359 4975157 18461533 20435149 27001513 32112377 34826099 129230731 203076863 224786639 353236147 1310768843 1421538041 2233845493 2472653029 9175381901 14418457273 15636918451 100929200911 158603030003 1110221210021