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11121534312 = 2337227134897
BaseRepresentation
bin10100101101110010…
…10010010101101000
31001201002010110222020
422112321102111220
5140234103044222
65035325024440
7542413324200
oct122671222550
931632113866
1011121534312
1147978a8379
1221a46b5120
13108316aa45
147770a9400
1545159965c
hex296e52568

11121534312 has 96 divisors (see below), whose sum is σ = 32463515520. Its totient is φ = 3165765120.

The previous prime is 11121534289. The next prime is 11121534313. The reversal of 11121534312 is 21343512111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11121534313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301248 + ... + 336144.

It is an arithmetic number, because the mean of its divisors is an integer number (338161620).

Almost surely, 211121534312 is an apocalyptic number.

11121534312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121534312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231757760).

11121534312 is an abundant number, since it is smaller than the sum of its proper divisors (21341981208).

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

11121534312 is a wasteful number, since it uses less digits than its factorization.

11121534312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35191 (or 35180 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The spelling of 11121534312 in words is "eleven billion, one hundred twenty-one million, five hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 271 294 392 542 588 813 1084 1176 1626 1897 2168 3252 3794 5691 6504 7588 11382 13279 15176 22764 26558 34897 39837 45528 53116 69794 79674 104691 106232 139588 159348 209382 244279 279176 318696 418764 488558 732837 837528 977116 1465674 1709953 1954232 2931348 3419906 5129859 5862696 6839812 9457087 10259718 13679624 18914174 20519436 28371261 37828348 41038872 56742522 66199609 75656696 113485044 132399218 198598827 226970088 264798436 397197654 463397263 529596872 794395308 926794526 1390191789 1588790616 1853589052 2780383578 3707178104 5560767156 11121534312