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2133406023 = 37505120113
BaseRepresentation
bin111111100101001…
…0011000101000111
312111200101020212220
41333022103011013
513332122443043
6551410143423
7103603436430
oct17712230507
95450336786
102133406023
119a5285581
124b6581b73
1327ccb6238
141634a4487
15c7465483
hex7f293147

2133406023 has 16 divisors (see below), whose sum is σ = 3251709696. Its totient is φ = 1218787200.

The previous prime is 2133405983. The next prime is 2133406039. The reversal of 2133406023 is 3206043312.

It is not a de Polignac number, because 2133406023 - 229 = 1596535111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2133405984 and 2133406002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133406043) 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 15 ways as a sum of consecutive naturals, for example, 96015 + ... + 116127.

It is an arithmetic number, because the mean of its divisors is an integer number (203231856).

Almost surely, 22133406023 is an apocalyptic number.

2133406023 is a deficient number, since it is larger than the sum of its proper divisors (1118303673).

2133406023 is a wasteful number, since it uses less digits than its factorization.

2133406023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25174.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2133406023 is about 46188.8084171913. The cubic root of 2133406023 is about 1287.3338003709. Note that the first 3 decimals are identical.

Adding to 2133406023 its reverse (3206043312), we get a palindrome (5339449335).

It can be divided in two parts, 2133 and 406023, that added together give a triangular number (408156 = T903).

The spelling of 2133406023 in words is "two billion, one hundred thirty-three million, four hundred six thousand, twenty-three".

Divisors: 1 3 7 21 5051 15153 20113 35357 60339 106071 140791 422373 101590763 304772289 711135341 2133406023