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133023123 = 32194379229
BaseRepresentation
bin1111110110111…
…00010110010011
3100021022021102100
413323130112103
5233023214443
621111051443
73203451342
oct773342623
9307267370
10133023123
11690a7272
1238670b83
132173680c
1413949b59
15ba293d3
hex7edc593

133023123 has 48 divisors (see below), whose sum is σ = 210496000. Its totient is φ = 80668224.

The previous prime is 133023119. The next prime is 133023131. The reversal of 133023123 is 321320331.

It is not a de Polignac number, because 133023123 - 22 = 133023119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133023096 and 133023105.

It is not an unprimeable number, because it can be changed into a prime (133023133) 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 47 ways as a sum of consecutive naturals, for example, 580773 + ... + 581001.

Almost surely, 2133023123 is an apocalyptic number.

133023123 is a deficient number, since it is larger than the sum of its proper divisors (77472877).

133023123 is a wasteful number, since it uses less digits than its factorization.

133023123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133023123 is about 11533.5650602925. The cubic root of 133023123 is about 510.4764520976.

Adding to 133023123 its reverse (321320331), we get a palindrome (454343454).

The spelling of 133023123 in words is "one hundred thirty-three million, twenty-three thousand, one hundred twenty-three".

Divisors: 1 3 9 19 43 57 79 129 171 229 237 387 687 711 817 1501 2061 2451 3397 4351 4503 7353 9847 10191 13053 13509 18091 29541 30573 39159 54273 64543 88623 162819 187093 193629 343729 561279 580887 777913 1031187 1683837 2333739 3093561 7001217 14780347 44341041 133023123