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130111104 = 273794289
BaseRepresentation
bin1111100000101…
…01011010000000
3100001211022212210
413300111122000
5231302023404
620524422120
73136632444
oct760253200
9301738783
10130111104
1167498442
12376a7940
1320c57226
14133cc824
15b651689
hex7c15680

130111104 has 64 divisors (see below), whose sum is σ = 350064000. Its totient is φ = 42811392.

The previous prime is 130111073. The next prime is 130111127. The reversal of 130111104 is 401111031.

130111104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 130111104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28192 + ... + 32480.

It is an arithmetic number, because the mean of its divisors is an integer number (5469750).

Almost surely, 2130111104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175032000).

130111104 is an abundant number, since it is smaller than the sum of its proper divisors (219952896).

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

130111104 is an equidigital number, since it uses as much as digits as its factorization.

130111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4373 counting only the distinct ones).

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

The square root of 130111104 is about 11406.6254431361. The cubic root of 130111104 is about 506.7239762813.

Adding to 130111104 its reverse (401111031), we get a palindrome (531222135).

The spelling of 130111104 in words is "one hundred thirty million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 4289 5056 7584 8578 10112 12867 15168 17156 25734 30336 34312 51468 68624 102936 137248 205872 274496 338831 411744 548992 677662 823488 1016493 1355324 1646976 2032986 2710648 4065972 5421296 8131944 10842592 16263888 21685184 32527776 43370368 65055552 130111104