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1131010104 = 233730721929
BaseRepresentation
bin100001101101001…
…1101100000111000
32220211012021012010
41003122131200320
54304014310404
6304121245520
740012266360
oct10332354070
92824167163
101131010104
115304756a4
122769338a0
1315041a663
14aa2d19a0
156945e189
hex4369d838

1131010104 has 64 divisors (see below), whose sum is σ = 3242131200. Its totient is φ = 322078464.

The previous prime is 1131010061. The next prime is 1131010141. The reversal of 1131010104 is 4010101311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1131010104.

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, 40612 + ... + 62540.

It is an arithmetic number, because the mean of its divisors is an integer number (50658300).

Almost surely, 21131010104 is an apocalyptic number.

1131010104 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 1131010104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621065600).

1131010104 is an abundant number, since it is smaller than the sum of its proper divisors (2111121096).

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

1131010104 is a wasteful number, since it uses less digits than its factorization.

1131010104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22252 (or 22248 counting only the distinct ones).

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

The square root of 1131010104 is about 33630.4936627460. The cubic root of 1131010104 is about 1041.8907002064.

Adding to 1131010104 its reverse (4010101311), we get a palindrome (5141111415).

The spelling of 1131010104 in words is "one billion, one hundred thirty-one million, ten thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 307 614 921 1228 1842 2149 2456 3684 4298 6447 7368 8596 12894 17192 21929 25788 43858 51576 65787 87716 131574 153503 175432 263148 307006 460509 526296 614012 921018 1228024 1842036 3684072 6732203 13464406 20196609 26928812 40393218 47125421 53857624 80786436 94250842 141376263 161572872 188501684 282752526 377003368 565505052 1131010104