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1131342434430 = 2351327110704347
BaseRepresentation
bin10000011101101001010…
…000111001000001111110
311000011012012101101221120
4100131221100321001332
5122013442130400210
62223422002411410
7144510502011255
oct20355120710176
94004165341846
101131342434430
113a688834596a
12163318360b66
13828ba314c70
143ca85d1b79c
151e66739d270
hex1076943907e

1131342434430 has 64 divisors (see below), whose sum is σ = 2934875317248. Its totient is φ = 277456648320.

The previous prime is 1131342434399. The next prime is 1131342434449. The reversal of 1131342434430 is 344342431311.

It is a junction number, because it is equal to n+sod(n) for n = 1131342434391 and 1131342434400.

It is a congruent number.

It is an unprimeable number.

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, 5246484 + ... + 5457863.

It is an arithmetic number, because the mean of its divisors is an integer number (45857426832).

Almost surely, 21131342434430 is an apocalyptic number.

1131342434430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1131342434430 is an abundant number, since it is smaller than the sum of its proper divisors (1803532882818).

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

1131342434430 is a wasteful number, since it uses less digits than its factorization.

1131342434430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704641.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 1131342434430 its reverse (344342431311), we get a palindrome (1475684865741).

The spelling of 1131342434430 in words is "one trillion, one hundred thirty-one billion, three hundred forty-two million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 271 390 542 813 1355 1626 2710 3523 4065 7046 8130 10569 17615 21138 35230 52845 105690 10704347 21408694 32113041 53521735 64226082 107043470 139156511 160565205 278313022 321130410 417469533 695782555 834939066 1391565110 2087347665 2900878037 4174695330 5801756074 8702634111 14504390185 17405268222 29008780370 37711414481 43513170555 75422828962 87026341110 113134243443 188557072405 226268486886 377114144810 565671217215 1131342434430