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100023001 = 1329265313
BaseRepresentation
bin1011111011000…
…11101011011001
320222012200202121
411331203223121
5201101214001
613531501241
72323116151
oct575435331
9228180677
10100023001
1151507841
12295b7821
1317951110
14d3d9761
158bab6a1
hex5f63ad9

100023001 has 8 divisors (see below), whose sum is σ = 111431880. Its totient is φ = 89144832.

The previous prime is 100022977. The next prime is 100023013. The reversal of 100023001 is 100320001.

It can be written as a sum of positive squares in 4 ways, for example, as 1040400 + 98982601 = 1020^2 + 9949^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100023001 - 25 = 100022969 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 132280 + ... + 133033.

It is an arithmetic number, because the mean of its divisors is an integer number (13928985).

Almost surely, 2100023001 is an apocalyptic number.

It is an amenable number.

100023001 is a deficient number, since it is larger than the sum of its proper divisors (11408879).

100023001 is a wasteful number, since it uses less digits than its factorization.

100023001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265355.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 100023001 is about 10001.1499838769. The cubic root of 100023001 is about 464.1944676948.

Adding to 100023001 its reverse (100320001), we get a palindrome (200343002).

The spelling of 100023001 in words is "one hundred million, twenty-three thousand, one".

Divisors: 1 13 29 377 265313 3449069 7694077 100023001