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110100000100 = 22522293480157
BaseRepresentation
bin110011010001001111…
…0001010110101100100
3101112012001120111201111
41212202132022311210
53300441100000400
6122325041034404
710645244362636
oct1464236126544
9345161514644
10110100000100
1142769641722
1219408325a04
13a4c814076c
1454865b4a56
152ce5c9c3ba
hex19a278ad64

110100000100 has 36 divisors (see below), whose sum is σ = 239021692084. Its totient is φ = 44020702080.

The previous prime is 110100000091. The next prime is 110100000113. The reversal of 110100000100 is 1000001011.

It can be written as a sum of positive squares in 6 ways, for example, as 4105477476 + 105994522624 = 64074^2 + 325568^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 110100000100.

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, 10779 + ... + 469378.

Almost surely, 2110100000100 is an apocalyptic number.

110100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110100000100 is an abundant number, since it is smaller than the sum of its proper divisors (128921691984).

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

110100000100 is a wasteful number, since it uses less digits than its factorization.

110100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482464 (or 482457 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 110100000100 its reverse (1000001011), we get a palindrome (111100001111).

It can be divided in two parts, 1 and 10100000100, that added together give a palindrome (10100000101).

The spelling of 110100000100 in words is "one hundred ten billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 2293 4586 9172 11465 22930 45860 57325 114650 229300 480157 960314 1920628 2400785 4801570 9603140 12003925 24007850 48015700 1101000001 2202000002 4404000004 5505000005 11010000010 22020000020 27525000025 55050000050 110100000100