Search a number
-
+
10213024000431 = 371573097671823
BaseRepresentation
bin1001010010011110011110…
…1010101110100110101111
31100011100121012110201012010
42110213213222232212233
52314312233121003211
633415444244412303
72102603153436120
oct224474752564657
940140535421163
1010213024000431
11328835688253a
12118b4290a7093
13591112800615
14274454c26047
1512a9e69aa4a6
hex949e7aae9af

10213024000431 has 16 divisors (see below), whose sum is σ = 15661828742144. Its totient is φ = 5798841650784.

The previous prime is 10213024000429. The next prime is 10213024000433. The reversal of 10213024000431 is 13400042031201.

It is an interprime number because it is at equal distance from previous prime (10213024000429) and next prime (10213024000433).

It is not a de Polignac number, because 10213024000431 - 21 = 10213024000429 is a prime.

It is a super-2 number, since 2×102130240004312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10213024000398 and 10213024000407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213024000433) 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, 1548832615 + ... + 1548839208.

It is an arithmetic number, because the mean of its divisors is an integer number (978864296384).

Almost surely, 210213024000431 is an apocalyptic number.

10213024000431 is a deficient number, since it is larger than the sum of its proper divisors (5448804741713).

10213024000431 is a wasteful number, since it uses less digits than its factorization.

10213024000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097671990.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10213024000431 its reverse (13400042031201), we get a palindrome (23613066031632).

The spelling of 10213024000431 in words is "ten trillion, two hundred thirteen billion, twenty-four million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 21 157 471 1099 3297 3097671823 9293015469 21683702761 65051108283 486334476211 1459003428633 3404341333477 10213024000431