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201241433232 = 2433766548093
BaseRepresentation
bin1011101101101011101…
…1001001010010010000
3201020102212021000202000
42323122323021102100
511244120301330412
6232240554154000
720352643646610
oct2733273112220
9636385230660
10201241433232
11783895a7384
1233003422900
1315c9158c658
149a50d18a40
15537c4464dc
hex2edaec9490

201241433232 has 80 divisors (see below), whose sum is σ = 660157092480. Its totient is φ = 57497551488.

The previous prime is 201241433231. The next prime is 201241433249. The reversal of 201241433232 is 232334142102.

201241433232 is a `hidden beast` number, since 2 + 0 + 12 + 414 + 3 + 3 + 232 = 666.

201241433232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2012414332322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201241433196 and 201241433205.

It is not an unprimeable number, because it can be changed into a prime (201241433231) 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 15 ways as a sum of consecutive naturals, for example, 33271023 + ... + 33277070.

It is an arithmetic number, because the mean of its divisors is an integer number (8251963656).

Almost surely, 2201241433232 is an apocalyptic number.

It is an amenable number.

201241433232 is an abundant number, since it is smaller than the sum of its proper divisors (458915659248).

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

201241433232 is a wasteful number, since it uses less digits than its factorization.

201241433232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66548117 (or 66548105 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 201241433232 its reverse (232334142102), we get a palindrome (433575575334).

The spelling of 201241433232 in words is "two hundred one billion, two hundred forty-one million, four hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 66548093 133096186 199644279 266192372 399288558 465836651 532384744 598932837 798577116 931673302 1064769488 1197865674 1397509953 1597154232 1796798511 1863346604 2395731348 2795019906 3194308464 3593597022 3726693208 4192529859 4791462696 5590039812 7187194044 7453386416 8385059718 9582925392 11180079624 12577589577 14374388088 16770119436 22360159248 25155179154 28748776176 33540238872 50310358308 67080477744 100620716616 201241433232