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10120201013 = 1311315794363
BaseRepresentation
bin10010110110011011…
…00000001100110101
3222010021221110220202
421123031200030311
5131211232413023
64352115010245
7505534201136
oct113315401465
928107843822
1010120201013
11432365389a
121b65299985
13c53884a30
146c00d1c8d
153e3703128
hex25b360335

10120201013 has 16 divisors (see below), whose sum is σ = 11004611520. Its totient is φ = 9251069184.

The previous prime is 10120201001. The next prime is 10120201019. The reversal of 10120201013 is 31010202101.

It is a cyclic number.

It is not a de Polignac number, because 10120201013 - 26 = 10120200949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10120200985 and 10120201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120201019) 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, 2317370 + ... + 2321732.

It is an arithmetic number, because the mean of its divisors is an integer number (687788220).

Almost surely, 210120201013 is an apocalyptic number.

10120201013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10120201013 is a deficient number, since it is larger than the sum of its proper divisors (884410507).

10120201013 is a wasteful number, since it uses less digits than its factorization.

10120201013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10120201013 its reverse (31010202101), we get a palindrome (41130403114).

The spelling of 10120201013 in words is "ten billion, one hundred twenty million, two hundred one thousand, thirteen".

Divisors: 1 13 113 1469 1579 4363 20527 56719 178427 493019 2319551 6409247 6889177 89559301 778477001 10120201013