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11122936128 = 263219310653
BaseRepresentation
bin10100101101111101…
…01000100101000000
31001201011202200220100
422112332220211000
5140234432424003
65035415042400
7542431253133
oct122676504500
931634680810
1011122936128
1147986755a7
1221a5070400
13108353bb15
1477735221a
15451774ba3
hex296fa8940

11122936128 has 42 divisors (see below), whose sum is σ = 31881889754. Its totient is φ = 3707645184.

The previous prime is 11122936117. The next prime is 11122936133. The reversal of 11122936128 is 82163922111.

11122936128 is a `hidden beast` number, since 1 + 1 + 12 + 29 + 3 + 612 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8502315264 + 2620620864 = 92208^2 + 51192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11122936092 and 11122936101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9654751 + ... + 9655902.

Almost surely, 211122936128 is an apocalyptic number.

11122936128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11122936128 is an abundant number, since it is smaller than the sum of its proper divisors (20758953626).

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

11122936128 is a wasteful number, since it uses less digits than its factorization.

11122936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19310671 (or 19310658 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 11122936128 in words is "eleven billion, one hundred twenty-two million, nine hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 19310653 38621306 57931959 77242612 115863918 154485224 173795877 231727836 308970448 347591754 463455672 617940896 695183508 926911344 1235881792 1390367016 1853822688 2780734032 3707645376 5561468064 11122936128