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2053000033 = 723101251503
BaseRepresentation
bin111101001011110…
…0100101101100001
312022002002012121021
41322113210231201
513201032000113
6535414525441
7101606132560
oct17227445541
95262065537
102053000033
11963957347
12493666881
13269443126
14156933bd7
15c038148d
hex7a5e4b61

2053000033 has 32 divisors (see below), whose sum is σ = 2487324672. Its totient is φ = 1656600000.

The previous prime is 2053000013. The next prime is 2053000057. The reversal of 2053000033 is 3300003502.

It is a de Polignac number, because none of the positive numbers 2k-2053000033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2052999980 and 2053000016.

It is not an unprimeable number, because it can be changed into a prime (2053000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4081260 + ... + 4081762.

It is an arithmetic number, because the mean of its divisors is an integer number (77728896).

Almost surely, 22053000033 is an apocalyptic number.

2053000033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2053000033 is a deficient number, since it is larger than the sum of its proper divisors (434324639).

2053000033 is a wasteful number, since it uses less digits than its factorization.

2053000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885.

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 2053000033 is about 45310.0434009944. The cubic root of 2053000033 is about 1270.9534727144.

Adding to 2053000033 its reverse (3300003502), we get a palindrome (5353003535).

The spelling of 2053000033 in words is "two billion, fifty-three million, thirty-three", and thus it is an aban number and an uban number.

Divisors: 1 7 23 101 161 251 503 707 1757 2323 3521 5773 11569 16261 25351 40411 50803 80983 126253 177457 355621 583073 883771 1168469 2903819 4081511 8179283 12751553 20326733 89260871 293285719 2053000033