Search a number
-
+
10031213401 = 116727674919
BaseRepresentation
bin10010101011110100…
…00010101101011001
3221220002111102212021
421111322002231121
5131020442312101
64335215414441
7503403623056
oct112572025531
927802442767
1010031213401
1142883a4110
121b3b524421
13c3b2c8841
146b236a02d
153da9c65a1
hex255e82b59

10031213401 has 16 divisors (see below), whose sum is σ = 11112744960. Its totient is φ = 8978104080.

The previous prime is 10031213377. The next prime is 10031213441. The reversal of 10031213401 is 10431213001.

10031213401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10031213401 - 25 = 10031213369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10031213441) 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 15 ways as a sum of consecutive naturals, for example, 2036820 + ... + 2041738.

It is an arithmetic number, because the mean of its divisors is an integer number (694546560).

Almost surely, 210031213401 is an apocalyptic number.

10031213401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10031213401 is a deficient number, since it is larger than the sum of its proper divisors (1081531559).

10031213401 is a wasteful number, since it uses less digits than its factorization.

10031213401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764.

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

Adding to 10031213401 its reverse (10431213001), we get a palindrome (20462426402).

It can be divided in two parts, 1003 and 1213401, that added together give a square (1214404 = 11022).

The spelling of 10031213401 in words is "ten billion, thirty-one million, two hundred thirteen thousand, four hundred one".

Divisors: 1 11 67 737 2767 4919 30437 54109 185389 329573 2039279 3625303 13610873 149719603 911928491 10031213401