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32016034101401 = 721693385935293
BaseRepresentation
bin1110100011110010100000…
…10101101111100010011001
311012100200222110112100120122
413101321100111233202121
513144022314212221101
6152031544002403025
76513040112454500
oct721712025574231
9135320873470518
1032016034101401
11a223a18659609
123710b09060475
1314b313983958c
147c9827527837
153a7c2578651b
hex1d1e5056f899

32016034101401 has 12 divisors (see below), whose sum is σ = 37265140118052. Its totient is φ = 27426105590688.

The previous prime is 32016034101329. The next prime is 32016034101461. The reversal of 32016034101401 is 10410143061023.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22842434949376 + 9173599152025 = 4779376^2 + 3028795^2 .

It is a de Polignac number, because none of the positive numbers 2k-32016034101401 is a prime.

It is a super-3 number, since 3×320160341014013 (a number of 41 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32016034101461) 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, 192884690 + ... + 193050603.

It is an arithmetic number, because the mean of its divisors is an integer number (3105428343171).

Almost surely, 232016034101401 is an apocalyptic number.

It is an amenable number.

32016034101401 is a deficient number, since it is larger than the sum of its proper divisors (5249106016651).

32016034101401 is a wasteful number, since it uses less digits than its factorization.

32016034101401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385937000 (or 385936993 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 32016034101401 its reverse (10410143061023), we get a palindrome (42426177162424).

The spelling of 32016034101401 in words is "thirty-two trillion, sixteen billion, thirty-four million, one hundred one thousand, four hundred one".

Divisors: 1 7 49 1693 11851 82957 385935293 2701547051 18910829357 653388451049 4573719157343 32016034101401