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11120130040 = 2352923341143
BaseRepresentation
bin10100101101100111…
…11011011111111000
31001200222111010200011
422112303323133320
5140233223130130
65035234551304
7542365355125
oct122663733770
931628433604
1011120130040
114797029318
1221a4138534
131082a98806
14776c2174c
154513bd52a
hex296cfb7f8

11120130040 has 64 divisors (see below), whose sum is σ = 25994779200. Its totient is φ = 4276134912.

The previous prime is 11120130023. The next prime is 11120130061. The reversal of 11120130040 is 4003102111.

It is a self number, because there is not a number n which added to its sum of digits gives 11120130040.

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, 249709 + ... + 290851.

It is an arithmetic number, because the mean of its divisors is an integer number (406168425).

Almost surely, 211120130040 is an apocalyptic number.

11120130040 is a gapful number since it is divisible by the number (10) 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 11120130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997389600).

11120130040 is an abundant number, since it is smaller than the sum of its proper divisors (14874649160).

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

11120130040 is a wasteful number, since it uses less digits than its factorization.

11120130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41416 (or 41412 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11120130040 its reverse (4003102111), we get a palindrome (15123232151).

The spelling of 11120130040 in words is "eleven billion, one hundred twenty million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 233 290 466 580 932 1160 1165 1864 2330 4660 6757 9320 13514 27028 33785 41143 54056 67570 82286 135140 164572 205715 270280 329144 411430 822860 1193147 1645720 2386294 4772588 5965735 9545176 9586319 11931470 19172638 23862940 38345276 47725880 47931595 76690552 95863190 191726380 278003251 383452760 556006502 1112013004 1390016255 2224026008 2780032510 5560065020 11120130040