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11110120901 = 112731379181
BaseRepresentation
bin10100101100011011…
…01111110111000101
31001200021122121201022
422112031233313011
5140223142332101
65034240240525
7542214320015
oct122615576705
931607577638
1011110120901
114791412300
1221a0910145
1310809a2a49
14775777c45
15450592a1b
hex29636fdc5

11110120901 has 24 divisors (see below), whose sum is σ = 12470955672. Its totient is φ = 9887961600.

The previous prime is 11110120883. The next prime is 11110120927. The reversal of 11110120901 is 10902101111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2983999876 + 8126121025 = 54626^2 + 90145^2 .

It is a de Polignac number, because none of the positive numbers 2k-11110120901 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11110120901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110120961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1205531 + ... + 1214711.

It is an arithmetic number, because the mean of its divisors is an integer number (519623153).

Almost surely, 211110120901 is an apocalyptic number.

11110120901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11110120901 is a deficient number, since it is larger than the sum of its proper divisors (1360834771).

11110120901 is a wasteful number, since it uses less digits than its factorization.

11110120901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 11110120901 in words is "eleven billion, one hundred ten million, one hundred twenty thousand, nine hundred one".

Divisors: 1 11 73 121 137 803 1507 8833 9181 10001 16577 100991 110011 670213 1110901 1210121 1257797 7372343 13835767 81095773 91819181 152193437 1010010991 11110120901