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100023111 = 3211113679
BaseRepresentation
bin1011111011000…
…11101101000111
320222012200220200
411331203231013
5201101214421
613531501543
72323116366
oct575435507
9228180820
10100023111
1151507931
12295b78b3
1317951196
14d3d97dd
158bab726
hex5f63b47

100023111 has 6 divisors (see below), whose sum is σ = 144477840. Its totient is φ = 66682068.

The previous prime is 100023109. The next prime is 100023127. The reversal of 100023111 is 111320001.

It is not a de Polignac number, because 100023111 - 21 = 100023109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11113679 = 100023111 / (1 + 0 + 0 + 0 + 2 + 3 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100023093 and 100023102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5556831 + ... + 5556848.

It is an arithmetic number, because the mean of its divisors is an integer number (24079640).

Almost surely, 2100023111 is an apocalyptic number.

100023111 is a deficient number, since it is larger than the sum of its proper divisors (44454729).

100023111 is a wasteful number, since it uses less digits than its factorization.

100023111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113685 (or 11113682 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100023111 is about 10001.1554832429. The cubic root of 100023111 is about 464.1946378602.

Adding to 100023111 its reverse (111320001), we get a palindrome (211343112).

The spelling of 100023111 in words is "one hundred million, twenty-three thousand, one hundred eleven".

Divisors: 1 3 9 11113679 33341037 100023111