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1101581028 = 2232171799969
BaseRepresentation
bin100000110101000…
…1100101011100100
32211202211010002100
41001222030223210
54224001043103
6301150412100
736204166332
oct10152145344
92752733070
101101581028
115158a5149
12268b01030
131472b54c2
14a6430b52
1566a995a3
hex41a8cae4

1101581028 has 36 divisors (see below), whose sum is σ = 2948350860. Its totient is φ = 345593856.

The previous prime is 1101581027. The next prime is 1101581029. The reversal of 1101581028 is 8201851011.

It is an interprime number because it is at equal distance from previous prime (1101581027) and next prime (1101581029).

It can be written as a sum of positive squares in 2 ways, for example, as 458045604 + 643535424 = 21402^2 + 25368^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11015810282 = 2426961522499073568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101580992 and 1101581010.

It is not an unprimeable number, because it can be changed into a prime (1101581027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 899373 + ... + 900596.

It is an arithmetic number, because the mean of its divisors is an integer number (81898635).

Almost surely, 21101581028 is an apocalyptic number.

1101581028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1101581028 is an abundant number, since it is smaller than the sum of its proper divisors (1846769832).

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

1101581028 is a wasteful number, since it uses less digits than its factorization.

1101581028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799996 (or 1799991 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 1101581028 is about 33190.0742391457. The cubic root of 1101581028 is about 1032.7744434774.

The spelling of 1101581028 in words is "one billion, one hundred one million, five hundred eighty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1799969 3599938 5399907 7199876 10799814 16199721 21599628 30599473 32399442 61198946 64798884 91798419 122397892 183596838 275395257 367193676 550790514 1101581028