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123053000133 = 3724724597243
BaseRepresentation
bin111001010011010000…
…1111100010111000101
3102202121202221002100110
41302212201330113011
54004003032001013
6132310232503233
711614240146300
oct1624641742705
9382552832313
10123053000133
1148206235328
121ba2224ab19
13b7b086771b
145d549c7b37
1533030182c3
hex1ca687c5c5

123053000133 has 48 divisors (see below), whose sum is σ = 195024706560. Its totient is φ = 68782430304.

The previous prime is 123053000123. The next prime is 123053000171. The reversal of 123053000133 is 331000350321.

It is not a de Polignac number, because 123053000133 - 222 = 123048805829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123053000123) 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, 16985610 + ... + 16992852.

It is an arithmetic number, because the mean of its divisors is an integer number (4063014720).

Almost surely, 2123053000133 is an apocalyptic number.

It is an amenable number.

123053000133 is a deficient number, since it is larger than the sum of its proper divisors (71971706427).

123053000133 is a wasteful number, since it uses less digits than its factorization.

123053000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9766 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

Adding to 123053000133 its reverse (331000350321), we get a palindrome (454053350454).

The spelling of 123053000133 in words is "one hundred twenty-three billion, fifty-three million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 7 21 47 49 141 147 329 987 2303 2459 6909 7243 7377 17213 21729 50701 51639 115573 120491 152103 340421 346719 354907 361473 809011 1021263 1064721 2382947 2427033 5663077 7148841 16680629 16989231 17810537 50041887 53431611 124673759 374021277 837095239 872716313 2511285717 2618148939 5859666673 17579000019 41017666711 123053000133