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1113103332 = 22321143131499
BaseRepresentation
bin100001001011000…
…1001101111100100
32212120111111201100
41002112021233210
54234423301312
6302241400100
736404136135
oct10226115744
92776444640
101113103332
11521355010
12270939030
131497bac33
14a7b8dc8c
1567ac35dc
hex42589be4

1113103332 has 144 divisors (see below), whose sum is σ = 3171168000. Its totient is φ = 326289600.

The previous prime is 1113103319. The next prime is 1113103333. The reversal of 1113103332 is 2333013111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1113103333) 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, 2230419 + ... + 2230917.

It is an arithmetic number, because the mean of its divisors is an integer number (22022000).

Almost surely, 21113103332 is an apocalyptic number.

1113103332 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 1113103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585584000).

1113103332 is an abundant number, since it is smaller than the sum of its proper divisors (2058064668).

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

1113103332 is a wasteful number, since it uses less digits than its factorization.

1113103332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1113103332 is about 33363.2032634758. The cubic root of 1113103332 is about 1036.3628283969.

Adding to 1113103332 its reverse (2333013111), we get a palindrome (3446116443).

The spelling of 1113103332 in words is "one billion, one hundred thirteen million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 131 132 172 198 258 262 387 393 396 473 499 516 524 774 786 946 998 1179 1419 1441 1497 1548 1572 1892 1996 2358 2838 2882 2994 4257 4323 4491 4716 5489 5633 5676 5764 5988 8514 8646 8982 10978 11266 12969 16467 16899 17028 17292 17964 21457 21956 22532 25938 32934 33798 42914 49401 50697 51876 61963 64371 65369 65868 67596 85828 98802 101394 123926 128742 130738 185889 193113 196107 197604 202788 236027 247852 257484 261476 371778 386226 392214 472054 557667 588321 708081 719059 743556 772452 784428 944108 1115334 1176642 1416162 1438118 2124243 2157177 2230668 2353284 2810867 2832324 2876236 4248486 4314354 5621734 6471531 8432601 8496972 8628708 11243468 12943062 16865202 25297803 25886124 30919537 33730404 50595606 61839074 92758611 101191212 123678148 185517222 278275833 371034444 556551666 1113103332