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221002220110140 = 2232571812893333493
BaseRepresentation
bin110010010000000000010110…
…110100110000000100111100
31001222111121100201001021021200
4302100000112310300010330
5212431400021322011030
62102011003542455500
764356612015612660
oct6220002664600474
91058447321037250
10221002220110140
1164466573810947
1220953864434590
13964155c791391
143c807c90bc8a0
151a83b9552bd60
hexc90016d3013c

221002220110140 has 288 divisors, whose sum is σ = 770423481050496. Its totient is φ = 50232469800960.

The previous prime is 221002220110099. The next prime is 221002220110141. The reversal of 221002220110140 is 41011022200122.

It is a super-2 number, since 2×2210022201101402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002220110141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6598443234 + ... + 6598476726.

Almost surely, 2221002220110140 is an apocalyptic number.

221002220110140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002220110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385211740525248).

221002220110140 is an abundant number, since it is smaller than the sum of its proper divisors (549421260940356).

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

221002220110140 is a wasteful number, since it uses less digits than its factorization.

221002220110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62629 (or 62624 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221002220110140 its reverse (41011022200122), we get a palindrome (262013242310262).

The spelling of 221002220110140 in words is "two hundred twenty-one trillion, two billion, two hundred twenty million, one hundred ten thousand, one hundred forty".