Search a number
-
+
1120101110240 = 25574447224891
BaseRepresentation
bin10000010011001011001…
…110101001000111100000
310222002011202211222011012
4100103023032221013200
5121322431341011430
62214322314040052
7143632102226330
oct20231316510740
93862152758135
101120101110240
113a203996a6a2
121610bb719028
13818183c4b48
143c2dad8d0c0
151e20a540695
hex104cb3a91e0

1120101110240 has 96 divisors (see below), whose sum is σ = 3024966518784. Its totient is φ = 383946600960.

The previous prime is 1120101110239. The next prime is 1120101110377. The reversal of 1120101110240 is 420111010211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4868195 + ... + 5093085.

It is an arithmetic number, because the mean of its divisors is an integer number (31510067904).

Almost surely, 21120101110240 is an apocalyptic number.

1120101110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120101110240 is an abundant number, since it is smaller than the sum of its proper divisors (1904865408544).

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

1120101110240 is a wasteful number, since it uses less digits than its factorization.

1120101110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229360 (or 229352 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1120101110240 its reverse (420111010211), we get a palindrome (1540212120451).

The spelling of 1120101110240 in words is "one trillion, one hundred twenty billion, one hundred one million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 4447 8894 17788 22235 31129 35576 44470 62258 71152 88940 124516 142304 155645 177880 224891 249032 311290 355760 449782 498064 622580 711520 899564 996128 1124455 1245160 1574237 1799128 2248910 2490320 3148474 3598256 4497820 4980640 6296948 7196512 7871185 8995640 12593896 15742370 17991280 25187792 31484740 35982560 50375584 62969480 125938960 251877920 1000090277 2000180554 4000361108 5000451385 7000631939 8000722216 10000902770 14001263878 16001444432 20001805540 28002527756 32002888864 35003159695 40003611080 56005055512 70006319390 80007222160 112010111024 140012638780 160014444320 224020222048 280025277560 560050555120 1120101110240