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203142032433 = 3361727169657
BaseRepresentation
bin1011110100110000110…
…1010110110000110001
3201102100022120110201000
42331030031112300301
511312013330014213
6233153330432213
720451022533264
oct2751415266061
9642308513630
10203142032433
117917442171a
1233453a32669
1316205272b72
149b914dacdb
15543e221c73
hex2f4c356c31

203142032433 has 32 divisors (see below), whose sum is σ = 306307339520. Its totient is φ = 133023876480.

The previous prime is 203142032393. The next prime is 203142032453. The reversal of 203142032433 is 334230241302.

203142032433 is a `hidden beast` number, since 2 + 0 + 314 + 20 + 324 + 3 + 3 = 666.

203142032433 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 203142032433 - 29 = 203142031921 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 203142032397 and 203142032406.

It is not an unprimeable number, because it can be changed into a prime (203142032453) 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 31 ways as a sum of consecutive naturals, for example, 1112541 + ... + 1282197.

It is an arithmetic number, because the mean of its divisors is an integer number (9572104360).

Almost surely, 2203142032433 is an apocalyptic number.

It is an amenable number.

203142032433 is a deficient number, since it is larger than the sum of its proper divisors (103165307087).

203142032433 is a wasteful number, since it uses less digits than its factorization.

203142032433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170454 (or 170448 counting only the distinct ones).

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

Adding to 203142032433 its reverse (334230241302), we get a palindrome (537372273735).

The spelling of 203142032433 in words is "two hundred three billion, one hundred forty-two million, thirty-two thousand, four hundred thirty-three".

Divisors: 1 3 9 27 61 183 549 727 1647 2181 6543 19629 44347 133041 169657 399123 508971 1197369 1526913 4580739 10349077 31047231 93141693 123340639 279425079 370021917 1110065751 3330197253 7523778979 22571336937 67714010811 203142032433