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10242104301 = 3211138395881
BaseRepresentation
bin10011000100111101…
…00001101111101101
3222102210022210210100
421202132201233231
5131433434314201
64412151501313
7511544310252
oct114236415755
928383283710
1010242104301
114386445610
121b9a087839
13c72bc7060
146d2385429
153ee282886
hex2627a1bed

10242104301 has 48 divisors (see below), whose sum is σ = 17590128192. Its totient is φ = 5660755200.

The previous prime is 10242104293. The next prime is 10242104333. The reversal of 10242104301 is 10340124201.

10242104301 is a `hidden beast` number, since 1 + 0 + 24 + 210 + 430 + 1 = 666.

It is not a de Polignac number, because 10242104301 - 23 = 10242104293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242104101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58881 + ... + 154761.

It is an arithmetic number, because the mean of its divisors is an integer number (366461004).

Almost surely, 210242104301 is an apocalyptic number.

10242104301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10242104301 is a deficient number, since it is larger than the sum of its proper divisors (7348023891).

10242104301 is a wasteful number, since it uses less digits than its factorization.

10242104301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95994 (or 95991 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10242104301 its reverse (10340124201), we get a palindrome (20582228502).

The spelling of 10242104301 in words is "ten billion, two hundred forty-two million, one hundred four thousand, three hundred one".

Divisors: 1 3 9 11 13 33 39 83 99 117 143 249 429 747 913 1079 1287 2739 3237 8217 9711 11869 35607 95881 106821 287643 862929 1054691 1246453 3164073 3739359 7958123 9492219 11218077 13710983 23874369 41132949 71623107 87539353 103455599 123398847 262618059 310366797 787854177 931100391 1138011589 3414034767 10242104301