Search a number
-
+
10214132424001 = 112340372064917
BaseRepresentation
bin1001010010100010100110…
…1111000001110101000001
31100011110110110011110110221
42110220221233001311001
52314322020400032001
633420150242023041
72102642503044532
oct224505157016501
940143413143427
1010214132424001
113288875520580
12118b698347a81
1359125b34045c
1427451c118689
1512aa5de571a1
hex94a29bc1d41

10214132424001 has 8 divisors (see below), whose sum is σ = 11627154696384. Its totient is φ = 8881854281520.

The previous prime is 10214132423977. The next prime is 10214132424049. The reversal of 10214132424001 is 10042423141201.

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

It is a de Polignac number, because none of the positive numbers 2k-10214132424001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10214132424061) 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 7 ways as a sum of consecutive naturals, for example, 20186032206 + ... + 20186032711.

It is an arithmetic number, because the mean of its divisors is an integer number (1453394337048).

Almost surely, 210214132424001 is an apocalyptic number.

10214132424001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10214132424001 is a deficient number, since it is larger than the sum of its proper divisors (1413022272383).

10214132424001 is a wasteful number, since it uses less digits than its factorization.

10214132424001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40372064951.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10214132424001 its reverse (10042423141201), we get a palindrome (20256555565202).

The spelling of 10214132424001 in words is "ten trillion, two hundred fourteen billion, one hundred thirty-two million, four hundred twenty-four thousand, one".

Divisors: 1 11 23 253 40372064917 444092714087 928557493091 10214132424001