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1131083112 = 2333112291237
BaseRepresentation
bin100001101101010…
…1111010101101000
32220211022222100010
41003122233111220
54304024124422
6304123011520
740013022255
oct10332572550
92824288303
101131083112
11530515535
12276969ba0
13150444963
14aa31042c
1569475b0c
hex436af568

1131083112 has 64 divisors (see below), whose sum is σ = 2923660800. Its totient is φ = 364273920.

The previous prime is 1131083099. The next prime is 1131083119. The reversal of 1131083112 is 2113801311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1131083119) 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, 913758 + ... + 914994.

It is an arithmetic number, because the mean of its divisors is an integer number (45682200).

Almost surely, 21131083112 is an apocalyptic number.

1131083112 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 1131083112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461830400).

1131083112 is an abundant number, since it is smaller than the sum of its proper divisors (1792577688).

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

1131083112 is a wasteful number, since it uses less digits than its factorization.

1131083112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1131083112 is about 33631.5790887077. The cubic root of 1131083112 is about 1041.9131181375.

Adding to 1131083112 its reverse (2113801311), we get a palindrome (3244884423).

The spelling of 1131083112 in words is "one billion, one hundred thirty-one million, eighty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1229 1237 2458 2474 3687 3711 4916 4948 7374 7422 9832 9896 14748 14844 29496 29688 38099 38347 76198 76694 114297 115041 152396 153388 228594 230082 304792 306776 457188 460164 914376 920328 1520273 3040546 4560819 6081092 9121638 12162184 18243276 36486552 47128463 94256926 141385389 188513852 282770778 377027704 565541556 1131083112