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1105316900 = 225211053169
BaseRepresentation
bin100000111100001…
…1100110000100100
32212000211220201222
41001320130300210
54230430120100
6301402435512
736251016152
oct10170346044
92760756658
101105316900
11517a16a46
1226a202b98
13147cc2a8c
14a6b243d2
1567086485
hex41e1cc24

1105316900 has 18 divisors (see below), whose sum is σ = 2398537890. Its totient is φ = 442126720.

The previous prime is 1105316881. The next prime is 1105316917. The reversal of 1105316900 is 96135011.

1105316900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 65383396 + 1039933504 = 8086^2 + 32248^2 .

It is a super-2 number, since 2×11053169002 = 2443450898851220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1105316900.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5526485 + ... + 5526684.

It is an arithmetic number, because the mean of its divisors is an integer number (133252105).

Almost surely, 21105316900 is an apocalyptic number.

1105316900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105316900 is an abundant number, since it is smaller than the sum of its proper divisors (1293220990).

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

1105316900 is a wasteful number, since it uses less digits than its factorization.

1105316900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11053183 (or 11053176 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 1105316900 is about 33246.3065617822. The cubic root of 1105316900 is about 1033.9406338793.

The spelling of 1105316900 in words is "one billion, one hundred five million, three hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11053169 22106338 44212676 55265845 110531690 221063380 276329225 552658450 1105316900