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42010212401 = 531814379257
BaseRepresentation
bin100111001000000000…
…001111100000110001
311000102202121220111122
4213020000033200301
51142014103244101
631144344352025
73015023625233
oct471000174061
9130382556448
1042010212401
11168a8740403
128185175615
133c66694061
142067564253
15115d21551b
hex9c800f831

42010212401 has 8 divisors (see below), whose sum is σ = 43039347624. Its totient is φ = 40989836160.

The previous prime is 42010212367. The next prime is 42010212421. The reversal of 42010212401 is 10421201024.

It can be written as a sum of positive squares in 4 ways, for example, as 353402401 + 41656810000 = 18799^2 + 204100^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42010212401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42010212401.

It is not an unprimeable number, because it can be changed into a prime (42010212421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2180036 + ... + 2199221.

It is an arithmetic number, because the mean of its divisors is an integer number (5379918453).

Almost surely, 242010212401 is an apocalyptic number.

It is an amenable number.

42010212401 is a deficient number, since it is larger than the sum of its proper divisors (1029135223).

42010212401 is a wasteful number, since it uses less digits than its factorization.

42010212401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379491.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 42010212401 its reverse (10421201024), we get a palindrome (52431413425).

The spelling of 42010212401 in words is "forty-two billion, ten million, two hundred twelve thousand, four hundred one".

Divisors: 1 53 181 9593 4379257 232100621 792645517 42010212401