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10242624201 = 3231311133159
BaseRepresentation
bin10011000101000001…
…00000101011001001
3222102211022012221220
421202200200223021
5131434102433301
64412210552253
7511551604065
oct114240405311
928384265856
1010242624201
114386770187
121b9a298689
13c730498a4
146d247caa5
153ee336936
hex262820ac9

10242624201 has 16 divisors (see below), whose sum is σ = 14359403520. Its totient is φ = 6481663760.

The previous prime is 10242624191. The next prime is 10242624239.

It is a happy number.

10242624201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10242624201 - 26 = 10242624137 is a prime.

It is a super-2 number, since 2×102426242012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10242624251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557541 + ... + 575618.

It is an arithmetic number, because the mean of its divisors is an integer number (897462720).

Almost surely, 210242624201 is an apocalyptic number.

It is an amenable number.

10242624201 is a deficient number, since it is larger than the sum of its proper divisors (4116779319).

10242624201 is a wasteful number, since it uses less digits than its factorization.

10242624201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133316.

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 10242624201 in words is "ten billion, two hundred forty-two million, six hundred twenty-four thousand, two hundred one".

Divisors: 1 3 23 69 131 393 3013 9039 1133159 3399477 26062657 78187971 148443829 445331487 3414208067 10242624201