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73132210121 = 1729197753001
BaseRepresentation
bin100010000011100000…
…1001111011111001001
320222202201011012101212
41010013001033133021
52144233321210441
653332501022505
75166166346405
oct1040701173711
9228681135355
1073132210121
1129019253983
121220b9b4a35
136b8633c619
14377a9d6105
151d805bceeb
hex110704f7c9

73132210121 has 16 divisors (see below), whose sum is σ = 80510973840. Its totient is φ = 66119424000.

The previous prime is 73132210097. The next prime is 73132210127. The reversal of 73132210121 is 12101223137.

It can be written as a sum of positive squares in 8 ways, for example, as 16280484025 + 56851726096 = 127595^2 + 238436^2 .

It is a cyclic number.

It is not a de Polignac number, because 73132210121 - 214 = 73132193737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73132210127) 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 15 ways as a sum of consecutive naturals, for example, 279380 + ... + 473621.

It is an arithmetic number, because the mean of its divisors is an integer number (5031935865).

Almost surely, 273132210121 is an apocalyptic number.

It is an amenable number.

73132210121 is a deficient number, since it is larger than the sum of its proper divisors (7378763719).

73132210121 is a wasteful number, since it uses less digits than its factorization.

73132210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753244.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 73132210121 its reverse (12101223137), we get a palindrome (85233433258).

The spelling of 73132210121 in words is "seventy-three billion, one hundred thirty-two million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 17 29 197 493 3349 5713 97121 753001 12801017 21837029 148341197 371229493 2521800349 4301894713 73132210121