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221000212121020 = 225137500211612463
BaseRepresentation
bin110010001111111110011111…
…001000111000010110111100
31001222111102011202122212001021
4302033332133020320112330
5212431331413300333040
62102010032412353524
764356511164155203
oct6217763710702674
91058442152585037
10221000212121020
1164465733307a02
12209533a3a758a4
1396412cc77a837
143c8067854423a
151a83ac90dc24a
hexc8ff9f2385bc

221000212121020 has 48 divisors (see below), whose sum is σ = 467497675709568. Its totient is φ = 87753019973120.

The previous prime is 221000212120999. The next prime is 221000212121057. The reversal of 221000212121020 is 20121212000122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221000212120985 and 221000212121003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136251309 + ... + 137863771.

It is an arithmetic number, because the mean of its divisors is an integer number (9739534910616).

Almost surely, 2221000212121020 is an apocalyptic number.

221000212121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000212121020 is an abundant number, since it is smaller than the sum of its proper divisors (246497463588548).

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

221000212121020 is a wasteful number, since it uses less digits than its factorization.

221000212121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662630 (or 1662628 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221000212121020 its reverse (20121212000122), we get a palindrome (241121424121142).

The spelling of 221000212121020 in words is "two hundred twenty-one trillion, two hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 50021 100042 200084 250105 500210 1000420 1612463 3224926 6449852 6852877 8062315 13705754 16124630 27411508 32249260 34264385 68528770 137057540 220907431 441814862 883629724 1104537155 2209074310 4418148620 80657011723 161314023446 322628046892 403285058615 806570117230 1613140234460 11050010606051 22100021212102 44200042424204 55250053030255 110500106060510 221000212121020