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110101000040 = 2354229650869
BaseRepresentation
bin110011010001010000…
…1111110111101101000
3101112012010110022101022
41212202201332331220
53300441324000130
6122325114312012
710645256026133
oct1464241767550
9345163408338
10110101000040
114276a164a19
1219408728608
13a4c8400945
14548679521a
152ce5de87e5
hex19a287ef68

110101000040 has 32 divisors (see below), whose sum is σ = 247786209000. Its totient is φ = 44029918464.

The previous prime is 110100999959. The next prime is 110101000057. The reversal of 110101000040 is 40000101011.

It can be written as a sum of positive squares in 4 ways, for example, as 109890924004 + 210076036 = 331498^2 + 14494^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110100999991 and 110101000027.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156275 + ... + 494594.

Almost surely, 2110101000040 is an apocalyptic number.

110101000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101000040 is an abundant number, since it is smaller than the sum of its proper divisors (137685208960).

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

110101000040 is a wasteful number, since it uses less digits than its factorization.

110101000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655109 (or 655105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110101000040 its reverse (40000101011), we get a palindrome (150101101051).

The spelling of 110101000040 in words is "one hundred ten billion, one hundred one million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 4229 8458 16916 21145 33832 42290 84580 169160 650869 1301738 2603476 3254345 5206952 6508690 13017380 26034760 2752525001 5505050002 11010100004 13762625005 22020200008 27525250010 55050500020 110101000040