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100515013 = 257421929
BaseRepresentation
bin1011111110110…
…11110011000101
321000010200200021
411333123303011
5201212440023
613550215141
72330235454
oct577336305
9230120607
10100515013
1151813465
12297b44b1
1317a94051
14d4c6b9b
158c5735d
hex5fdbcc5

100515013 has 8 divisors (see below), whose sum is σ = 101254680. Its totient is φ = 99778560.

The previous prime is 100514987. The next prime is 100515017. The reversal of 100515013 is 310515001.

It can be written as a sum of positive squares in 4 ways, for example, as 174724 + 100340289 = 418^2 + 10017^2 .

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 100515013 - 29 = 100514501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100515017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107733 + ... + 108661.

It is an arithmetic number, because the mean of its divisors is an integer number (12656835).

Almost surely, 2100515013 is an apocalyptic number.

It is an amenable number.

100515013 is a deficient number, since it is larger than the sum of its proper divisors (739667).

100515013 is an equidigital number, since it uses as much as digits as its factorization.

100515013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 100515013 is about 10025.7175803032. The cubic root of 100515013 is about 464.9543455389.

The spelling of 100515013 in words is "one hundred million, five hundred fifteen thousand, thirteen".

Divisors: 1 257 421 929 108197 238753 391109 100515013