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11103312 = 24311171237
BaseRepresentation
bin101010010110…
…110001010000
3202220002212210
4222112301100
510320301222
61033552120
7163243113
oct52266120
922802783
1011103312
1162a40a0
123875640
1323b9b0c
14169057a
15e94d0c
hexa96c50

11103312 has 80 divisors (see below), whose sum is σ = 33158592. Its totient is φ = 3164160.

The previous prime is 11103311. The next prime is 11103343. The reversal of 11103312 is 21330111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8358 + ... + 9594.

Almost surely, 211103312 is an apocalyptic number.

11103312 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 11103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16579296).

11103312 is an abundant number, since it is smaller than the sum of its proper divisors (22055280).

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

11103312 is a wasteful number, since it uses less digits than its factorization.

11103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 11103312 is about 3332.1632613064. The cubic root of 11103312 is about 223.0920946540.

Adding to 11103312 its reverse (21330111), we get a palindrome (32433423).

The spelling of 11103312 in words is "eleven million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1237 1496 2244 2474 2992 3711 4488 4948 7422 8976 9896 13607 14844 19792 21029 27214 29688 40821 42058 54428 59376 63087 81642 84116 108856 126174 163284 168232 217712 231319 252348 326568 336464 462638 504696 653136 693957 925276 1009392 1387914 1850552 2775828 3701104 5551656 11103312