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42023000222021 = 7213113583806841
BaseRepresentation
bin10011000111000001111100…
…00000000010100101000101
312111210100201010202012102102
421203200332000002211011
521002001101024101041
6225213033315521445
711565030056154500
oct1143407600024505
9174710633665372
1042023000222021
11124319440a7105
1248684098b9285
131a5a9a0c68060
14a53cd18b4137
154cd1ac05009b
hex26383e002945

42023000222021 has 24 divisors (see below), whose sum is σ = 53110076030424. Its totient is φ = 32954728504320.

The previous prime is 42023000221997. The next prime is 42023000222111. The reversal of 42023000222021 is 12022200032024.

It can be written as a sum of positive squares in 4 ways, for example, as 1416933122500 + 40606067099521 = 1190350^2 + 6372289^2 .

It is a de Polignac number, because none of the positive numbers 2k-42023000222021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42023000221984 and 42023000222002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42023000222221) 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 23 ways as a sum of consecutive naturals, for example, 291831440 + ... + 291975401.

It is an arithmetic number, because the mean of its divisors is an integer number (2212919834601).

Almost surely, 242023000222021 is an apocalyptic number.

It is an amenable number.

42023000222021 is a deficient number, since it is larger than the sum of its proper divisors (11087075808403).

42023000222021 is a wasteful number, since it uses less digits than its factorization.

42023000222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583806981 (or 583806974 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42023000222021 its reverse (12022200032024), we get a palindrome (54045200254045).

The spelling of 42023000222021 in words is "forty-two trillion, twenty-three billion, two hundred twenty-two thousand, twenty-one".

Divisors: 1 7 13 49 91 113 637 791 1469 5537 10283 71981 583806841 4086647887 7589488933 28606535209 53126422531 65970173033 371884957717 461791211231 857612249429 3232538478617 6003285746003 42023000222021