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100014399 = 333704237
BaseRepresentation
bin1011111011000…
…01100100111111
320222012020222000
411331201210333
5201100430044
613531353343
72323052112
oct575414477
9228166860
10100014399
1151501331
12295b2853
131794a224
14d3d6579
158ba8d69
hex5f6193f

100014399 has 8 divisors (see below), whose sum is σ = 148169520. Its totient is φ = 66676248.

The previous prime is 100014391. The next prime is 100014403. The reversal of 100014399 is 993410001.

It is not a de Polignac number, because 100014399 - 23 = 100014391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3704237 = 100014399 / (1 + 0 + 0 + 0 + 1 + 4 + 3 + 9 + 9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100014391) 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, 1852092 + ... + 1852145.

It is an arithmetic number, because the mean of its divisors is an integer number (18521190).

Almost surely, 2100014399 is an apocalyptic number.

100014399 is a deficient number, since it is larger than the sum of its proper divisors (48155121).

100014399 is an equidigital number, since it uses as much as digits as its factorization.

100014399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704246 (or 3704240 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 100014399 is about 10000.7199240855. The cubic root of 100014399 is about 464.1811603713.

It can be divided in two parts, 10001 and 4399, that added together give a square (14400 = 1202).

The spelling of 100014399 in words is "one hundred million, fourteen thousand, three hundred ninety-nine".

Divisors: 1 3 9 27 3704237 11112711 33338133 100014399