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11434313313 = 3283109317443
BaseRepresentation
bin10101010011000100…
…11100011001100001
31002111212200022002200
422221202130121201
5141404141011223
65130341003413
7553232026263
oct125142343141
932455608080
1011434313313
11493840a915
1222713b3569
131102bc1287
147a6847b33
1546dc7ea43
hex2a989c661

11434313313 has 48 divisors (see below), whose sum is σ = 16959983040. Its totient is φ = 7421611392.

The previous prime is 11434313263. The next prime is 11434313321. The reversal of 11434313313 is 31331343411.

11434313313 is a `hidden beast` number, since 1 + 1 + 4 + 34 + 313 + 313 = 666.

It is not a de Polignac number, because 11434313313 - 29 = 11434312801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11434313383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25810870 + ... + 25811312.

It is an arithmetic number, because the mean of its divisors is an integer number (353332980).

Almost surely, 211434313313 is an apocalyptic number.

It is an amenable number.

11434313313 is a deficient number, since it is larger than the sum of its proper divisors (5525669727).

11434313313 is a wasteful number, since it uses less digits than its factorization.

11434313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 955 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 11434313313 its reverse (31331343411), we get a palindrome (42765656724).

The spelling of 11434313313 in words is "eleven billion, four hundred thirty-four million, three hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 83 109 249 317 327 443 747 951 981 1329 2853 3987 9047 26311 27141 34553 36769 48287 78933 81423 103659 110307 140431 144861 236799 310977 330921 421293 434583 1263879 2867899 4007821 8603697 11655773 12023463 15306979 25811091 34967319 36070389 45920937 104901957 137762811 1270479257 3811437771 11434313313