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42102323100321 = 31137187971834433
BaseRepresentation
bin10011001001010101101100…
…00000110011101010100001
312112001221110021201221001220
421210222312000303222201
521004301024203202241
6225313312404245253
711603535546412401
oct1144526600635241
9175057407657056
1042102323100321
111246254986a680
12487b8669a0829
131a65302a11033
14a57a9874c801
154d02a0d6a166
hex264ab6033aa1

42102323100321 has 32 divisors (see below), whose sum is σ = 62898251165568. Its totient is φ = 24825588387840.

The previous prime is 42102323100311. The next prime is 42102323100323. The reversal of 42102323100321 is 12300132320124.

It is not a de Polignac number, because 42102323100321 - 25 = 42102323100289 is a prime.

It is a super-2 number, since 2×421023231003212 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42102323100291 and 42102323100300.

It is not an unprimeable number, because it can be changed into a prime (42102323100323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22033921 + ... + 23868353.

It is an arithmetic number, because the mean of its divisors is an integer number (1965570348924).

Almost surely, 242102323100321 is an apocalyptic number.

It is an amenable number.

42102323100321 is a deficient number, since it is larger than the sum of its proper divisors (20795928065247).

42102323100321 is a wasteful number, since it uses less digits than its factorization.

42102323100321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853281.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42102323100321 its reverse (12300132320124), we get a palindrome (54402455420445).

The spelling of 42102323100321 in words is "forty-two trillion, one hundred two billion, three hundred twenty-three million, one hundred thousand, three hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 1221 18797 56391 206767 620301 695489 1834433 2086467 5503299 7650379 20178763 22951137 60536289 67874021 203622063 746614231 2239842693 34481837101 103445511303 379300208111 1137900624333 1275827972737 3827483918211 14034107700107 42102323100321