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332213002201031 = 71743410571581299
BaseRepresentation
bin100101110001001010101110…
…1111111000110011111000111
31121120021020211022201010111212
41023202111131333012133013
5322020434212030413111
63134320314000522035
7126655411614414110
oct11342253577063707
91546236738633455
10332213002201031
1196942819a70646
123131513232031b
131134a72308a073
145c072a34d3207
1528619512c398b
hex12e255dfc67c7

332213002201031 has 32 divisors (see below), whose sum is σ = 411364897574400. Its totient is φ = 261764579414016.

The previous prime is 332213002201027. The next prime is 332213002201043. The reversal of 332213002201031 is 130102200312233.

It is not a de Polignac number, because 332213002201031 - 22 = 332213002201027 is a prime.

It is a super-3 number, since 3×3322130022010313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 332213002200988 and 332213002201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332213002201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209298020 + ... + 210879318.

It is an arithmetic number, because the mean of its divisors is an integer number (12855153049200).

Almost surely, 2332213002201031 is an apocalyptic number.

332213002201031 is a deficient number, since it is larger than the sum of its proper divisors (79151895373369).

332213002201031 is a wasteful number, since it uses less digits than its factorization.

332213002201031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622423.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 332213002201031 its reverse (130102200312233), we get a palindrome (462315202513264).

The spelling of 332213002201031 in words is "three hundred thirty-two trillion, two hundred thirteen billion, two million, two hundred one thousand, thirty-one".

Divisors: 1 7 17 43 119 301 731 5117 41057 287399 697969 1581299 1765451 4885783 11069093 12358157 26882083 30012667 67995857 188174581 210088669 475970999 1155929569 8091506983 64923393043 454463751301 1103697681731 2791705900849 7725883772117 19541941305943 47459000314433 332213002201031