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32001213202101 = 32112132260451593
BaseRepresentation
bin1110100011010110111001…
…11100011111111010110101
311012022021201120101122212100
413101223130330133322311
513143301441034431401
6152021053203212313
76512003616056523
oct721533474377265
9135267646348770
1032001213202101
11a218702645600
12370a071677099
1314b191713ac90
147c8c1d005313
153a765954db86
hex1d1adcf1feb5

32001213202101 has 36 divisors (see below), whose sum is σ = 54716491284364. Its totient is φ = 17902776608640.

The previous prime is 32001213202037. The next prime is 32001213202117. The reversal of 32001213202101 is 10120231210023.

32001213202101 is a `hidden beast` number, since 3 + 200 + 121 + 320 + 21 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10142091162225 + 21859122039876 = 3184665^2 + 4675374^2 .

It is not a de Polignac number, because 32001213202101 - 26 = 32001213202037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32001213200101) 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 35 ways as a sum of consecutive naturals, for example, 1130211640 + ... + 1130239953.

Almost surely, 232001213202101 is an apocalyptic number.

It is an amenable number.

32001213202101 is a deficient number, since it is larger than the sum of its proper divisors (22715278082263).

32001213202101 is a wasteful number, since it uses less digits than its factorization.

32001213202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260451634 (or 2260451620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32001213202101 its reverse (10120231210023), we get a palindrome (42121444412124).

The spelling of 32001213202101 in words is "thirty-two trillion, one billion, two hundred thirteen million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 4719 14157 2260451593 6781354779 20344064337 24864967523 29385870709 74594902569 88157612127 223784707707 264472836381 273514642753 323244577799 820543928259 969733733397 2461631784777 2909201200191 3555690355789 10667071067367 32001213202101