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11434342131 = 335914295023
BaseRepresentation
bin10101010011000101…
…00011011011110011
31002111212201202122000
422221202203123303
5141404142422011
65130341345043
7553232206302
oct125142433363
932455652560
1011434342131
11493842a533
122271408183
131102c01424
147a6854439
1546dc88356
hex2a98a36f3

11434342131 has 32 divisors (see below), whose sum is σ = 17242368000. Its totient is φ = 7486958304.

The previous prime is 11434342093. The next prime is 11434342133. The reversal of 11434342131 is 13124343411.

11434342131 is a `hidden beast` number, since 1 + 14 + 3 + 434 + 213 + 1 = 666.

It is not a de Polignac number, because 11434342131 - 26 = 11434342067 is a prime.

It is a super-2 number, since 2×114343421312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11434342095 and 11434342104.

It is not an unprimeable number, because it can be changed into a prime (11434342133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273886 + ... + 2278908.

It is an arithmetic number, because the mean of its divisors is an integer number (538824000).

Almost surely, 211434342131 is an apocalyptic number.

11434342131 is a deficient number, since it is larger than the sum of its proper divisors (5808025869).

11434342131 is a wasteful number, since it uses less digits than its factorization.

11434342131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 6514 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 11434342131 its reverse (13124343411), we get a palindrome (24558685542).

The spelling of 11434342131 in words is "eleven billion, four hundred thirty-four million, three hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 59 177 531 1429 1593 4287 5023 12861 15069 38583 45207 84311 135621 252933 296357 758799 889071 2276397 2667213 7177867 8001639 21533601 64600803 193802409 423494153 1270482459 3811447377 11434342131