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10011110204416 = 21029337119821
BaseRepresentation
bin1001000110101110010010…
…1010101110010000000000
31022110001102111001010002211
42101223210222232100000
52303010223203020131
633143012431151504
72052164433462646
oct221534452562000
938401374033084
1010011110204416
11320a7627a3042
121158278675594
13578074b5a289
1426877c8c9196
1512562a5005b1
hex91ae4aae400

10011110204416 has 44 divisors (see below), whose sum is σ = 20702528269020. Its totient is φ = 4832949739520.

The previous prime is 10011110204339. The next prime is 10011110204441. The reversal of 10011110204416 is 61440201111001.

It can be written as a sum of positive squares in 2 ways, for example, as 4433955644416 + 5577154560000 = 2105696^2 + 2361600^2 .

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 3 ways as a sum of consecutive naturals, for example, 168530215 + ... + 168589606.

Almost surely, 210011110204416 is an apocalyptic number.

10011110204416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10011110204416 is an abundant number, since it is smaller than the sum of its proper divisors (10691418064604).

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

10011110204416 is an equidigital number, since it uses as much as digits as its factorization.

10011110204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337119870 (or 337119852 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 10011110204416 its reverse (61440201111001), we get a palindrome (71451311315417).

The spelling of 10011110204416 in words is "ten trillion, eleven billion, one hundred ten million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 3712 7424 14848 29696 337119821 674239642 1348479284 2696958568 5393917136 9776474809 10787834272 19552949618 21575668544 39105899236 43151337088 78211798472 86302674176 156423596944 172605348352 312847193888 345210696704 625694387776 1251388775552 2502777551104 5005555102208 10011110204416