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2042433400221 = 32269384269233
BaseRepresentation
bin11101101110001010100…
…001000110110110011101
321020020212200202221000200
4131232022201012312131
5231430400422301341
64202140404014113
7300363255312114
oct35561241066635
97206780687020
102042433400221
11718211454495
1228ba06991339
1311a7a67c8106
1470bd62d2c7b
15381dd436db6
hex1db8a846d9d

2042433400221 has 12 divisors (see below), whose sum is σ = 2951277113148. Its totient is φ = 1361116635264.

The previous prime is 2042433400211. The next prime is 2042433400223. The reversal of 2042433400221 is 1220043342402.

2042433400221 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 4 + 33 + 400 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1166646252996 + 875787147225 = 1080114^2 + 935835^2 .

It is not a de Polignac number, because 2042433400221 - 218 = 2042433138077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042433400223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42110380 + ... + 42158853.

It is an arithmetic number, because the mean of its divisors is an integer number (245939759429).

Almost surely, 22042433400221 is an apocalyptic number.

It is an amenable number.

2042433400221 is a deficient number, since it is larger than the sum of its proper divisors (908843712927).

2042433400221 is a wasteful number, since it uses less digits than its factorization.

2042433400221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84271932 (or 84271929 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2042433400221 its reverse (1220043342402), we get a palindrome (3262476742623).

The spelling of 2042433400221 in words is "two trillion, forty-two billion, four hundred thirty-three million, four hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 2693 8079 24237 84269233 252807699 758423097 226937044469 680811133407 2042433400221