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201034344033 = 321721144314057
BaseRepresentation
bin1011101100111010010…
…1001010011001100001
3201012220102120210202200
42323032211022121201
511243204243002113
6232204235403413
720344550505165
oct2731645123141
9635812523680
10201034344033
1178292712186
1232b65bb3569
1315c5a6c2673
149a3160cca5
15536918b873
hex2ece94a661

201034344033 has 48 divisors (see below), whose sum is σ = 309640833216. Its totient is φ = 125249080320.

The previous prime is 201034343987. The next prime is 201034344059. The reversal of 201034344033 is 330443430102.

201034344033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201034344033 - 26 = 201034343969 is a prime.

It is a super-3 number, since 3×2010343440333 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201034343988 and 201034344006.

It is not an unprimeable number, because it can be changed into a prime (201034346033) 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 47 ways as a sum of consecutive naturals, for example, 14294341 + ... + 14308397.

It is an arithmetic number, because the mean of its divisors is an integer number (6450850692).

Almost surely, 2201034344033 is an apocalyptic number.

It is an amenable number.

201034344033 is a deficient number, since it is larger than the sum of its proper divisors (108606489183).

201034344033 is a wasteful number, since it uses less digits than its factorization.

201034344033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14734 (or 14731 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 201034344033 its reverse (330443430102), we get a palindrome (531477774135).

The spelling of 201034344033 in words is "two hundred one billion, thirty-four million, three hundred forty-four thousand, thirty-three".

Divisors: 1 3 9 17 51 153 211 443 633 1329 1899 3587 3987 7531 10761 14057 22593 32283 42171 67779 93473 126513 238969 280419 716907 841257 1589041 2150721 2966027 4767123 6227251 8898081 14301369 18681753 26694243 50422459 56045259 105863267 151267377 317589801 453802131 952769403 1313949961 3941849883 11825549649 22337149337 67011448011 201034344033