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42331412123201 = 5311343316323773
BaseRepresentation
bin10011010000000000011001…
…10010000100111001000001
312112212211202220011002021002
421220000030302010321001
521022024213000420301
6230010440545141345
711626225566110315
oct1150001462047101
9175784686132232
1042331412123201
1112540718625253
1248b814032a855
131a80ab1757386
14a64bcbca1b45
154d620ce6e16b
hex26800cc84e41

42331412123201 has 16 divisors (see below), whose sum is σ = 43612292290896. Its totient is φ = 41070087991296.

The previous prime is 42331412123197. The next prime is 42331412123213. The reversal of 42331412123201 is 10232121413324.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17165899080625 + 25165513042576 = 4143175^2 + 5016524^2 .

It is a cyclic number.

It is not a de Polignac number, because 42331412123201 - 22 = 42331412123197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42331412123701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5568650 + ... + 10755123.

It is an arithmetic number, because the mean of its divisors is an integer number (2725768268181).

Almost surely, 242331412123201 is an apocalyptic number.

It is an amenable number.

42331412123201 is a deficient number, since it is larger than the sum of its proper divisors (1280880167695).

42331412123201 is a wasteful number, since it uses less digits than its factorization.

42331412123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16324372.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 42331412123201 its reverse (10232121413324), we get a palindrome (52563533536525).

The spelling of 42331412123201 in words is "forty-two trillion, three hundred thirty-one billion, four hundred twelve million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 53 113 433 5989 22949 48929 2593237 16323773 865159969 1844586349 7068193709 97763076497 374614266577 798705889117 42331412123201