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1131122104 = 237411034783
BaseRepresentation
bin100001101101011…
…1000110110111000
32220211101221211021
41003122320312320
54304031401404
6304123512224
740013244040
oct10332706670
92824357737
101131122104
11530541862
12276988674
13150459628
14aa320720
1569482454
hex436b8db8

1131122104 has 64 divisors (see below), whose sum is σ = 2507581440. Its totient is φ = 468253440.

The previous prime is 1131122053. The next prime is 1131122123. The reversal of 1131122104 is 4012211311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234097 + ... + 238879.

It is an arithmetic number, because the mean of its divisors is an integer number (39180960).

Almost surely, 21131122104 is an apocalyptic number.

1131122104 is a gapful number since it is divisible by the number (14) 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 1131122104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253790720).

1131122104 is an abundant number, since it is smaller than the sum of its proper divisors (1376459336).

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

1131122104 is a wasteful number, since it uses less digits than its factorization.

1131122104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1131122104 is about 33632.1587769801. The cubic root of 1131122104 is about 1041.9250906763.

Adding to 1131122104 its reverse (4012211311), we get a palindrome (5143333415).

The spelling of 1131122104 in words is "one billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 41 56 82 103 164 206 287 328 412 574 721 824 1148 1442 2296 2884 4223 4783 5768 8446 9566 16892 19132 29561 33481 33784 38264 59122 66962 118244 133924 196103 236488 267848 392206 492649 784412 985298 1372721 1568824 1970596 2745442 3448543 3941192 5490884 6897086 10981768 13794172 20198609 27588344 40397218 80794436 141390263 161588872 282780526 565561052 1131122104