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100024101 = 3211113789
BaseRepresentation
bin1011111011000…
…11111100100101
320222012202021100
411331203330211
5201101232401
613531510313
72323122312
oct575437445
9228182240
10100024101
1151508651
12295b8399
1317951778
14d3d9d09
158babb86
hex5f63f25

100024101 has 6 divisors (see below), whose sum is σ = 144479270. Its totient is φ = 66682728.

The previous prime is 100024087. The next prime is 100024121. The reversal of 100024101 is 101420001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99980001 + 44100 = 9999^2 + 210^2 .

It is not a de Polignac number, because 100024101 - 25 = 100024069 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: 11113789 = 100024101 / (1 + 0 + 0 + 0 + 2 + 4 + 1 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100024121) 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, 5556886 + ... + 5556903.

Almost surely, 2100024101 is an apocalyptic number.

It is an amenable number.

100024101 is a deficient number, since it is larger than the sum of its proper divisors (44455169).

100024101 is a wasteful number, since it uses less digits than its factorization.

100024101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113795 (or 11113792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100024101 is about 10001.2049774015. The cubic root of 100024101 is about 464.1961693435.

Adding to 100024101 its reverse (101420001), we get a palindrome (201444102).

The spelling of 100024101 in words is "one hundred million, twenty-four thousand, one hundred one".

Divisors: 1 3 9 11113789 33341367 100024101