Search a number
-
+
11100309975 = 325282160091
BaseRepresentation
bin10100101011010000…
…10100100111010111
31001122121012011122200
422111220110213113
5140213134404400
65033250055543
7542035035516
oct122550244727
931577164580
1011100309975
1147869211a7
12219957a5b3
13107b949271
1477434267d
1544e7a5b00
hex295a149d7

11100309975 has 36 divisors (see below), whose sum is σ = 19906436472. Its totient is φ = 5912856000.

The previous prime is 11100309967. The next prime is 11100310009. The reversal of 11100309975 is 57990300111.

11100309975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11100309975 - 23 = 11100309967 is a prime.

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 35 ways as a sum of consecutive naturals, for example, 154680 + ... + 214770.

Almost surely, 211100309975 is an apocalyptic number.

11100309975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11100309975 is a deficient number, since it is larger than the sum of its proper divisors (8806126497).

11100309975 is a wasteful number, since it uses less digits than its factorization.

11100309975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60928 (or 60920 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The spelling of 11100309975 in words is "eleven billion, one hundred million, three hundred nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 821 2463 4105 7389 12315 20525 36945 60091 61575 180273 184725 300455 540819 901365 1502275 2704095 4506825 13520475 49334711 148004133 246673555 444012399 740020665 1233367775 2220061995 3700103325 11100309975