Search a number
-
+
10012003232131 = 137199939239319
BaseRepresentation
bin1001000110110001100111…
…1001010110100110000011
31022110010201201102121211101
42101230121321112212003
52303014040311412011
633143241211555231
72052225526212205
oct221543171264603
938403651377741
1010012003232131
1132100808a2a7a
12115848775bb17
13578187b82244
1426882534c775
1512567db012c1
hex91b19e56983

10012003232131 has 16 divisors (see below), whose sum is σ = 10093783680000. Its totient is φ = 9930353018688.

The previous prime is 10012003232093. The next prime is 10012003232213. The reversal of 10012003232131 is 13123230021001.

It is a cyclic number.

It is not a de Polignac number, because 10012003232131 - 213 = 10012003223939 is a prime.

It is a super-2 number, since 2×100120032321312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012003232099 and 10012003232108.

It is not an unprimeable number, because it can be changed into a prime (10012003292131) 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, 1074359890 + ... + 1074369208.

It is an arithmetic number, because the mean of its divisors is an integer number (630861480000).

Almost surely, 210012003232131 is an apocalyptic number.

10012003232131 is a deficient number, since it is larger than the sum of its proper divisors (81780447869).

10012003232131 is a wasteful number, since it uses less digits than its factorization.

10012003232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15378.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10012003232131 its reverse (13123230021001), we get a palindrome (23135233253132).

The spelling of 10012003232131 in words is "ten trillion, twelve billion, three million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 137 1999 3923 9319 273863 537451 1276703 7842077 18628681 36558437 1074364549 2552129297 5008505869 73080315563 10012003232131