Search a number
-
+
1010442134130 = 2351113235534297
BaseRepresentation
bin11101011010000110000…
…10110110001001110010
310120121010110010210121120
432231003002312021302
5113023341141243010
62052105105403110
7133000461266532
oct16550302661162
93517113123546
101010442134130
1135a587273910
121439b7039496
137439075a630
1436c971bb4c2
151b43d35be70
hexeb430b6272

1010442134130 has 64 divisors (see below), whose sum is σ = 2849022868608. Its totient is φ = 226112924160.

The previous prime is 1010442134129. The next prime is 1010442134137. The reversal of 1010442134130 is 314312440101.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010442134130.

It is not an unprimeable number, because it can be changed into a prime (1010442134137) 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 31 ways as a sum of consecutive naturals, for example, 117762859 + ... + 117771438.

It is an arithmetic number, because the mean of its divisors is an integer number (44515982322).

Almost surely, 21010442134130 is an apocalyptic number.

1010442134130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010442134130 is an abundant number, since it is smaller than the sum of its proper divisors (1838580734478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010442134130 is a wasteful number, since it uses less digits than its factorization.

1010442134130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235534331.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1010442134130 its reverse (314312440101), we get a palindrome (1324754574231).

The spelling of 1010442134130 in words is "one trillion, ten billion, four hundred forty-two million, one hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 235534297 471068594 706602891 1177671485 1413205782 2355342970 2590877267 3061945861 3533014455 5181754534 6123891722 7066028910 7772631801 9185837583 12954386335 15309729305 15545263602 18371675166 25908772670 30619458610 33681404471 38863159005 45929187915 67362808942 77726318010 91858375830 101044213413 168407022355 202088426826 336814044710 505221067065 1010442134130