Search a number
-
+
1011226004130 = 235194913613199
BaseRepresentation
bin11101011011100011100…
…01000100101010100010
310120200011002010112002210
432231301301010222202
5113031442324113010
62052314550422550
7133026060133026
oct16556161045242
93520132115083
101011226004130
1135a949797a61
12143b95661a56
1374486c83734
1436d2d348386
151b487099b20
hexeb71c44aa2

1011226004130 has 64 divisors (see below), whose sum is σ = 2559879936000. Its totient is φ = 254947250880.

The previous prime is 1011226004123. The next prime is 1011226004137. The reversal of 1011226004130 is 314006221101.

It is an interprime number because it is at equal distance from previous prime (1011226004123) and next prime (1011226004137).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1011226004097 and 1011226004106.

It is not an unprimeable number, because it can be changed into a prime (1011226004137) 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, 1526730 + ... + 2086469.

It is an arithmetic number, because the mean of its divisors is an integer number (39998124000).

Almost surely, 21011226004130 is an apocalyptic number.

1011226004130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011226004130 is an abundant number, since it is smaller than the sum of its proper divisors (1548653931870).

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

1011226004130 is a wasteful number, since it uses less digits than its factorization.

1011226004130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613719.

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 1011226004130 in words is "one trillion, eleven billion, two hundred twenty-six million, four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 491 570 982 1473 2455 2946 4910 7365 9329 14730 18658 27987 46645 55974 93290 139935 279870 3613199 7226398 10839597 18065995 21679194 36131990 54197985 68650781 108395970 137301562 205952343 343253905 411904686 686507810 1029761715 1774080709 2059523430 3548161418 5322242127 8870403545 10644484254 17740807090 26611210635 33707533471 53222421270 67415066942 101122600413 168537667355 202245200826 337075334710 505613002065 1011226004130