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100003101 = 3113079871
BaseRepresentation
bin1011111010111…
…10110100011101
320222011200110120
411331132310131
5201100044401
613531225153
72323004142
oct575366435
9228150416
10100003101
11514a38a0
12295a81b9
1317945043
14d3d23c9
158ba5836
hex5f5ed1d

100003101 has 16 divisors (see below), whose sum is σ = 145947648. Its totient is φ = 60404400.

The previous prime is 100003091. The next prime is 100003151. The reversal of 100003101 is 101300001.

It is not a de Polignac number, because 100003101 - 26 = 100003037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100003101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100003151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5196 + ... + 15066.

It is an arithmetic number, because the mean of its divisors is an integer number (9121728).

Almost surely, 2100003101 is an apocalyptic number.

100003101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100003101 is a deficient number, since it is larger than the sum of its proper divisors (45944547).

100003101 is a wasteful number, since it uses less digits than its factorization.

100003101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10192.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100003101 is about 10000.1550487980. The cubic root of 100003101 is about 464.1636811673.

Adding to 100003101 its reverse (101300001), we get a palindrome (201303102).

The spelling of 100003101 in words is "one hundred million, three thousand, one hundred one".

Divisors: 1 3 11 33 307 921 3377 9871 10131 29613 108581 325743 3030397 9091191 33334367 100003101