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110300100001 = 7213971785109
BaseRepresentation
bin110011010111001100…
…1011111010110100001
3101112201000002122011221
41212232121133112201
53301343311200001
6122400545535041
710653224244400
oct1465631372641
9345630078157
10110300100001
1142861592743
1219463344481
13a52a731380
1454a4dc1637
152d086261a1
hex19ae65f5a1

110300100001 has 24 divisors (see below), whose sum is σ = 139602742440. Its totient is φ = 86370665472.

The previous prime is 110300099957. The next prime is 110300100019. The reversal of 110300100001 is 100001003011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1228432401 + 109071667600 = 35049^2 + 330260^2 .

It is not a de Polignac number, because 110300100001 - 211 = 110300097953 is a prime.

It is a super-2 number, since 2×1103001000012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (110300100061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830766 + ... + 954343.

It is an arithmetic number, because the mean of its divisors is an integer number (5816780935).

Almost surely, 2110300100001 is an apocalyptic number.

It is an amenable number.

110300100001 is a deficient number, since it is larger than the sum of its proper divisors (29302642439).

110300100001 is a wasteful number, since it uses less digits than its factorization.

110300100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785233 (or 1785226 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 110300100001 its reverse (100001003011), we get a palindrome (210301103012).

The spelling of 110300100001 in words is "one hundred ten billion, three hundred million, one hundred thousand, one".

Divisors: 1 7 13 49 91 97 637 679 1261 4753 8827 61789 1785109 12495763 23206417 87470341 162444919 173155573 1137114433 1212089011 2251022449 8484623077 15757157143 110300100001