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32214120224131 = 277701165900803
BaseRepresentation
bin1110101001100011011110…
…01100010101010110000011
311020001122021102112000000201
413110301233030111112003
513210244004234133011
6152302543523430031
76533251633643416
oct724615714252603
9136048242460021
1032214120224131
11a29aa2805645a
12374338b825317
1314c8a174a65a1
147d525936bb7d
153ace6abaacc1
hex1d4c6f315583

32214120224131 has 8 divisors (see below), whose sum is σ = 32376537305424. Its totient is φ = 32052034946400.

The previous prime is 32214120224119. The next prime is 32214120224149. The reversal of 32214120224131 is 13142202141223.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32214120224131 - 223 = 32214111835523 is a prime.

It is a super-3 number, since 3×322141202241313 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32214120224131.

It is not an unprimeable number, because it can be changed into a prime (32214120224171) 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 7 ways as a sum of consecutive naturals, for example, 82756225 + ... + 83144578.

It is an arithmetic number, because the mean of its divisors is an integer number (4047067163178).

Almost surely, 232214120224131 is an apocalyptic number.

32214120224131 is a deficient number, since it is larger than the sum of its proper divisors (162417081293).

32214120224131 is a wasteful number, since it uses less digits than its factorization.

32214120224131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165901781.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 32214120224131 its reverse (13142202141223), we get a palindrome (45356322365354).

The spelling of 32214120224131 in words is "thirty-two trillion, two hundred fourteen billion, one hundred twenty million, two hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 277 701 194177 165900803 45954522431 116296462903 32214120224131