Search a number
-
+
10212132000031 = 13787998155801
BaseRepresentation
bin1001010010011011001010…
…0000000001000100011111
31100011021022001000101200021
42110212302200001010133
52314303421243000111
633415215542013011
72102542102525633
oct224466240010437
940137261011607
1010212132000031
113287a39314425
12118b21a417167
13590ccca78130
142743ac58cdc3
1512a99350dd71
hex949b280111f

10212132000031 has 8 divisors (see below), whose sum is σ = 11011654807664. Its totient is φ = 9414605505600.

The previous prime is 10212132000019. The next prime is 10212132000043. The reversal of 10212132000031 is 13000023121201.

It is an interprime number because it is at equal distance from previous prime (10212132000019) and next prime (10212132000043).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10212132000031 - 27 = 10212131999903 is a prime.

It is a super-2 number, since 2×102121320000312 (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 = 10212131999969 and 10212132000014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212132000331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499067670 + ... + 499088131.

It is an arithmetic number, because the mean of its divisors is an integer number (1376456850958).

Almost surely, 210212132000031 is an apocalyptic number.

10212132000031 is a deficient number, since it is larger than the sum of its proper divisors (799522807633).

10212132000031 is an equidigital number, since it uses as much as digits as its factorization.

10212132000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998156601.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10212132000031 its reverse (13000023121201), we get a palindrome (23212155121232).

The spelling of 10212132000031 in words is "ten trillion, two hundred twelve billion, one hundred thirty-two million, thirty-one", and thus it is an aban number.

Divisors: 1 13 787 10231 998155801 12976025413 785548615387 10212132000031