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21121333361000 = 235321121333361
BaseRepresentation
bin1001100110101101100011…
…00100100111100101101000
32202210011212001000022001222
410303112301210213211220
510232022442320023000
6112531001231401212
74306652221231115
oct463266144474550
982704761008058
1021121333361000
116803564060994
122451557983208
13ba296ba82632
145303c6b3390c
15269633682a85
hex1335b1927968

21121333361000 has 32 divisors (see below), whose sum is σ = 49423920067080. Its totient is φ = 8448533344000.

The previous prime is 21121333360973. The next prime is 21121333361003. The reversal of 21121333361000 is 16333312112.

It can be written as a sum of positive squares in 4 ways, for example, as 10771510872004 + 10349822488996 = 3281998^2 + 3217114^2 .

It is a super-2 number, since 2×211213333610002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121333361003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10560665681 + ... + 10560667680.

Almost surely, 221121333361000 is an apocalyptic number.

21121333361000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121333361000 is an abundant number, since it is smaller than the sum of its proper divisors (28302586706080).

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

21121333361000 is a wasteful number, since it uses less digits than its factorization.

21121333361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21121333382 (or 21121333368 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 21121333361000 its reverse (16333312112), we get a palindrome (21137666673112).

The spelling of 21121333361000 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred thirty-three million, three hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 21121333361 42242666722 84485333444 105606666805 168970666888 211213333610 422426667220 528033334025 844853334440 1056066668050 2112133336100 2640166670125 4224266672200 5280333340250 10560666680500 21121333361000