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100020013 = 823121531
BaseRepresentation
bin1011111011000…
…10111100101101
320222012112122221
411331202330231
5201101120023
613531435341
72323104352
oct575427455
9228175587
10100020013
1151505575
12295b5b51
131794c952
14d3d8629
158baa85d
hex5f62f2d

100020013 has 4 divisors (see below), whose sum is σ = 100142368. Its totient is φ = 99897660.

The previous prime is 100019977. The next prime is 100020023. The reversal of 100020013 is 310020001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100020013 - 29 = 100019501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100019978 and 100020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020023) 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 3 ways as a sum of consecutive naturals, for example, 59943 + ... + 61588.

It is an arithmetic number, because the mean of its divisors is an integer number (25035592).

Almost surely, 2100020013 is an apocalyptic number.

It is an amenable number.

100020013 is a deficient number, since it is larger than the sum of its proper divisors (122355).

100020013 is an equidigital number, since it uses as much as digits as its factorization.

100020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122354.

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

The square root of 100020013 is about 10001.0005999400. Note that the first 3 decimals coincide. The cubic root of 100020013 is about 464.1898453350.

Adding to 100020013 its reverse (310020001), we get a palindrome (410040014).

The spelling of 100020013 in words is "one hundred million, twenty thousand, thirteen".

Divisors: 1 823 121531 100020013