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201311100032 = 2771991129033
BaseRepresentation
bin1011101101111100010…
…0111001110010000000
3201020121201100110121212
42323133010321302000
511244241120200112
6232251523305252
720354451055040
oct2733704716200
9636551313555
10201311100032
1178414960049
123302281b228
1315ca2b42603
149a5a291720
155383608522
hex2edf139c80

201311100032 has 64 divisors (see below), whose sum is σ = 460645872000. Its totient is φ = 85842561024.

The previous prime is 201311100031. The next prime is 201311100041. The reversal of 201311100032 is 230001113102.

201311100032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (201311100031) 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 7 ways as a sum of consecutive naturals, for example, 386213 + ... + 742820.

It is an arithmetic number, because the mean of its divisors is an integer number (7197591750).

Almost surely, 2201311100032 is an apocalyptic number.

It is an amenable number.

201311100032 is an abundant number, since it is smaller than the sum of its proper divisors (259334771968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201311100032 is a wasteful number, since it uses less digits than its factorization.

201311100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129253 (or 1129241 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 201311100032 its reverse (230001113102), we get a palindrome (431312213134).

The spelling of 201311100032 in words is "two hundred one billion, three hundred eleven million, one hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 199 224 398 448 796 896 1393 1592 2786 3184 5572 6368 11144 12736 22288 25472 44576 89152 178304 1129033 2258066 4516132 7903231 9032264 15806462 18064528 31612924 36129056 63225848 72258112 126451696 144516224 224677567 252903392 449355134 505806784 898710268 1011613568 1572742969 1797420536 3145485938 3594841072 6290971876 7189682144 12581943752 14379364288 25163887504 28758728576 50327775008 100655550016 201311100032