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1102013568 = 27323492741
BaseRepresentation
bin100000110101111…
…0110010010000000
32211210122002102100
41001223312102000
54224103413233
6301203550400
736210650355
oct10153662200
92753562370
101102013568
11516070117
1226908b400
13147407346
14a650462c
1566b32813
hex41af6480

1102013568 has 96 divisors (see below), whose sum is σ = 3181405500. Its totient is φ = 366151680.

The previous prime is 1102013537. The next prime is 1102013573. The reversal of 1102013568 is 8653102011.

It can be written as a sum of positive squares in 2 ways, for example, as 1101708864 + 304704 = 33192^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400678 + ... + 403418.

Almost surely, 21102013568 is an apocalyptic number.

1102013568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590702750).

1102013568 is an abundant number, since it is smaller than the sum of its proper divisors (2079391932).

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

1102013568 is a wasteful number, since it uses less digits than its factorization.

1102013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1102013568 is about 33196.5897043657. The cubic root of 1102013568 is about 1032.9096000662.

Adding to 1102013568 its reverse (8653102011), we get a palindrome (9755115579).

The spelling of 1102013568 in words is "one billion, one hundred two million, thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 349 384 576 698 1047 1152 1396 2094 2741 2792 3141 4188 5482 5584 6282 8223 8376 10964 11168 12564 16446 16752 21928 22336 24669 25128 32892 33504 43856 44672 49338 50256 65784 67008 87712 98676 100512 131568 134016 175424 197352 201024 263136 350848 394704 402048 526272 789408 956609 1052544 1578816 1913218 2869827 3157632 3826436 5739654 7652872 8609481 11479308 15305744 17218962 22958616 30611488 34437924 45917232 61222976 68875848 91834464 122445952 137751696 183668928 275503392 367337856 551006784 1102013568