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10242101013 = 329367132069
BaseRepresentation
bin10011000100111101…
…00000111100010101
3222102210022122021120
421202132200330111
5131433434213023
64412151434153
7511544264544
oct114236407425
928383278246
1010242101013
1143864430a1
121b9a085959
13c72bc5701
146d238415b
153ee2818e3
hex2627a0f15

10242101013 has 16 divisors (see below), whose sum is σ = 14131324800. Its totient is φ = 6590615360.

The previous prime is 10242101011. The next prime is 10242101057. The reversal of 10242101013 is 31010124201.

It is a cyclic number.

It is not a de Polignac number, because 10242101013 - 21 = 10242101011 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10242100983 and 10242101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242101011) 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, 303343 + ... + 335411.

It is an arithmetic number, because the mean of its divisors is an integer number (883207800).

Almost surely, 210242101013 is an apocalyptic number.

It is an amenable number.

10242101013 is a deficient number, since it is larger than the sum of its proper divisors (3889223787).

10242101013 is a wasteful number, since it uses less digits than its factorization.

10242101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35772.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10242101013 its reverse (31010124201), we get a palindrome (41252225214).

The spelling of 10242101013 in words is "ten billion, two hundred forty-two million, one hundred one thousand, thirteen".

Divisors: 1 3 29 87 3671 11013 32069 96207 106459 319377 930001 2790003 117725299 353175897 3414033671 10242101013