Search a number
-
+
13042224031 = 101357136161
BaseRepresentation
bin11000010010110000…
…01000101110011111
31020122221020121221111
430021120020232133
5203202302132111
65554100042451
7641125034524
oct141130105637
936587217844
1013042224031
115592aa4a51
12263b993427
1312cb066935
148ba1db14b
15514ee2a21
hex309608b9f

13042224031 has 8 divisors (see below), whose sum is σ = 13175407728. Its totient is φ = 12909120000.

The previous prime is 13042224029. The next prime is 13042224049.

13042224031 is nontrivially palindromic in base 10.

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 13042224031 - 21 = 13042224029 is a prime.

It is a super-2 number, since 2×130422240312 (a number of 21 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 = 13042223993 and 13042224011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042224001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342591 + ... + 378751.

It is an arithmetic number, because the mean of its divisors is an integer number (1646925966).

Almost surely, 213042224031 is an apocalyptic number.

13042224031 is a deficient number, since it is larger than the sum of its proper divisors (133183697).

13042224031 is a wasteful number, since it uses less digits than its factorization.

13042224031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39833.

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 13042224031 in words is "thirteen billion, forty-two million, two hundred twenty-four thousand, thirty-one".

Divisors: 1 101 3571 36161 360671 3652261 129130931 13042224031