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32144321201 = 192293070429
BaseRepresentation
bin11101111011111100…
…110110101010110001
310001222012012201001212
4131323330312222301
51011312421234301
622433352205505
72215365136106
oct357374665261
9101865181055
1032144321201
11126a56a4313
126291099895
133053700605
1417ad150aad
15c81ee84bb
hex77bf36ab1

32144321201 has 12 divisors (see below), whose sum is σ = 35095014900. Its totient is φ = 29402418528.

The previous prime is 32144321137. The next prime is 32144321213. The reversal of 32144321201 is 10212344123.

It can be written as a sum of positive squares in 2 ways, for example, as 5692551601 + 26451769600 = 75449^2 + 162640^2 .

It is not a de Polignac number, because 32144321201 - 26 = 32144321137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32144321291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1524746 + ... + 1545683.

It is an arithmetic number, because the mean of its divisors is an integer number (2924584575).

Almost surely, 232144321201 is an apocalyptic number.

It is an amenable number.

32144321201 is a deficient number, since it is larger than the sum of its proper divisors (2950693699).

32144321201 is a wasteful number, since it uses less digits than its factorization.

32144321201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070496 (or 3070477 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 32144321201 its reverse (10212344123), we get a palindrome (42356665324).

The spelling of 32144321201 in words is "thirty-two billion, one hundred forty-four million, three hundred twenty-one thousand, two hundred one".

Divisors: 1 19 29 361 551 10469 3070429 58338151 89042441 1108424869 1691806379 32144321201