Search a number
-
+
1046013242131 = 111361121119677
BaseRepresentation
bin11110011100010110011…
…11110110101100010011
310200222221110110022110001
433032023033312230103
5114114213342222011
62120310513550431
7135400116600004
oct17161317665423
93628843408401
101046013242131
11373680229830
1214a883875417
137783c0a2330
14388ad4ad1ab
151c3210ee7c1
hexf38b3f6b13

1046013242131 has 16 divisors (see below), whose sum is σ = 1228913064288. Its totient is φ = 877751654400.

The previous prime is 1046013242081. The next prime is 1046013242149. The reversal of 1046013242131 is 1312423106401.

It is a cyclic number.

It is not a de Polignac number, because 1046013242131 - 215 = 1046013209363 is a prime.

It is a super-2 number, since 2×10460132421312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1046013242131.

It is not an unprimeable number, because it can be changed into a prime (1046013242161) 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, 8680465 + ... + 8800141.

It is an arithmetic number, because the mean of its divisors is an integer number (76807066518).

Almost surely, 21046013242131 is an apocalyptic number.

1046013242131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1046013242131 is a deficient number, since it is larger than the sum of its proper divisors (182899822157).

1046013242131 is a wasteful number, since it uses less digits than its factorization.

1046013242131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180822.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1046013242131 its reverse (1312423106401), we get a palindrome (2358436348532).

The spelling of 1046013242131 in words is "one trillion, forty-six billion, thirteen million, two hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 11 13 143 61121 119677 672331 794573 1316447 1555801 8740303 17113811 7314777917 80462557087 95092112921 1046013242131