Search a number
-
+
1042134311230 = 2541137151122869
BaseRepresentation
bin11110010101001000000…
…10111010000100111110
310200121221010120012120121
433022210002322010332
5114033242340424410
62114425551005154
7135202026326365
oct17124402720476
93617833505517
101042134311230
11371a6a717611
12149b808097ba
137737159034c
14386222727dc
151c1957e19da
hexf2a40ba13e

1042134311230 has 64 divisors (see below), whose sum is σ = 1948454766720. Its totient is φ = 401041152000.

The previous prime is 1042134311227. The next prime is 1042134311237. The reversal of 1042134311230 is 321134312401.

It is a super-2 number, since 2×10421343112302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1042134311195 and 1042134311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042134311237) 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, 8420236 + ... + 8543104.

It is an arithmetic number, because the mean of its divisors is an integer number (30444605730).

Almost surely, 21042134311230 is an apocalyptic number.

1042134311230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1042134311230 is a deficient number, since it is larger than the sum of its proper divisors (906320455490).

1042134311230 is a wasteful number, since it uses less digits than its factorization.

1042134311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123205.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1042134311230 its reverse (321134312401), we get a palindrome (1363268623631).

The spelling of 1042134311230 in words is "one trillion, forty-two billion, one hundred thirty-four million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 5 10 41 82 137 151 205 274 302 410 685 755 1370 1510 5617 6191 11234 12382 20687 28085 30955 41374 56170 61910 103435 122869 206870 245738 614345 848167 1228690 1696334 4240835 5037629 8481670 10075258 16833053 18553219 25188145 33666106 37106438 50376290 84165265 92766095 168330530 185532190 690155173 760681979 1380310346 1521363958 2541791003 3450775865 3803409895 5083582006 6901551730 7606819790 12708955015 25417910030 104213431123 208426862246 521067155615 1042134311230