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101426409 = 3276724029
BaseRepresentation
bin1100000101110…
…10010011101001
321001211222212200
412002322103221
5201431121114
614021530413
72341052550
oct602722351
9231758780
10101426409
1152286187
1229b73a09
1318022b36
14d682d97
158d87409
hex60ba4e9

101426409 has 24 divisors (see below), whose sum is σ = 169940160. Its totient is φ = 57090528.

The previous prime is 101426399. The next prime is 101426417. The reversal of 101426409 is 904624101.

101426409 is a `hidden beast` number, since 1 + 0 + 14 + 2 + 640 + 9 = 666.

It is not a de Polignac number, because 101426409 - 211 = 101424361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101426449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7794 + ... + 16235.

It is an arithmetic number, because the mean of its divisors is an integer number (7080840).

Almost surely, 2101426409 is an apocalyptic number.

It is an amenable number.

101426409 is a deficient number, since it is larger than the sum of its proper divisors (68513751).

101426409 is a wasteful number, since it uses less digits than its factorization.

101426409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24109 (or 24106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101426409 is about 10071.0679175547. The cubic root of 101426409 is about 466.3554071233.

The spelling of 101426409 in words is "one hundred one million, four hundred twenty-six thousand, four hundred nine".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 4221 24029 72087 168203 216261 504609 1513827 1609943 4829829 11269601 14489487 33808803 101426409