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32442101013 = 3723465714423
BaseRepresentation
bin11110001101101100…
…110010110100010101
310002201221112111011210
4132031230302310111
51012420134213023
622523110452033
72225642210610
oct361554626425
9102657474153
1032442101013
11128387a1733
126354964019
1330a030199a
1417da907177
15c9d219593
hex78db32d15

32442101013 has 32 divisors (see below), whose sum is σ = 51599609856. Its totient is φ = 17727291648.

The previous prime is 32442100979. The next prime is 32442101023. The reversal of 32442101013 is 31010124423.

It is not a de Polignac number, because 32442101013 - 212 = 32442096917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32442101023) 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 31 ways as a sum of consecutive naturals, for example, 2242120 + ... + 2256542.

It is an arithmetic number, because the mean of its divisors is an integer number (1612487808).

Almost surely, 232442101013 is an apocalyptic number.

It is an amenable number.

32442101013 is a deficient number, since it is larger than the sum of its proper divisors (19157508843).

32442101013 is a wasteful number, since it uses less digits than its factorization.

32442101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19113.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 32442101013 its reverse (31010124423), we get a palindrome (63452225436).

The spelling of 32442101013 in words is "thirty-two billion, four hundred forty-two million, one hundred one thousand, thirteen".

Divisors: 1 3 7 21 23 69 161 483 4657 13971 14423 32599 43269 97797 100961 107111 302883 321333 331729 749777 995187 2249331 2322103 6966309 67167911 201503733 470175377 1410526131 1544861953 4634585859 10814033671 32442101013