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138225604127 = 1321921942557
BaseRepresentation
bin1000000010111011100…
…0110101011000011111
3111012210011212020012112
42000232320311120133
54231041223313002
6143255554224235
712662234151332
oct2005670653037
9435704766175
10138225604127
1153691828276
122295758507b
131005b098100
146993adc619
1538e0074852
hex202ee3561f

138225604127 has 12 divisors (see below), whose sum is σ = 149687551080. Its totient is φ = 127583228448.

The previous prime is 138225604123. The next prime is 138225604129. The reversal of 138225604127 is 721406522831.

138225604127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138225604127 - 22 = 138225604123 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 (138225604123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3226733 + ... + 3269289.

It is an arithmetic number, because the mean of its divisors is an integer number (12473962590).

Almost surely, 2138225604127 is an apocalyptic number.

138225604127 is a deficient number, since it is larger than the sum of its proper divisors (11461946953).

138225604127 is a wasteful number, since it uses less digits than its factorization.

138225604127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61802 (or 61789 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 138225604127 in words is "one hundred thirty-eight billion, two hundred twenty-five million, six hundred four thousand, one hundred twenty-seven".

Divisors: 1 13 169 19219 42557 249847 553241 3248011 7192133 817902983 10632738779 138225604127