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123023033133 = 371113101405611
BaseRepresentation
bin111001010010010111…
…1101000001100101101
3102202112200112121100120
41302210233220030231
54003422344030013
6132303242315153
711613424346040
oct1624457501455
9382480477316
10123023033133
11481a0327710
121ba141b8ab9
13b7a75a4780
145d50a26c57
153300599123
hex1ca4be832d

123023033133 has 64 divisors (see below), whose sum is σ = 222418151424. Its totient is φ = 58407840000.

The previous prime is 123023033131. The next prime is 123023033141. The reversal of 123023033133 is 331330320321.

It is not a de Polignac number, because 123023033133 - 21 = 123023033131 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123023033131) 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 63 ways as a sum of consecutive naturals, for example, 100498 + ... + 506108.

It is an arithmetic number, because the mean of its divisors is an integer number (3475283616).

Almost surely, 2123023033133 is an apocalyptic number.

123023033133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123023033133 is a deficient number, since it is larger than the sum of its proper divisors (99395118291).

123023033133 is a wasteful number, since it uses less digits than its factorization.

123023033133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405746.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 123023033133 its reverse (331330320321), we get a palindrome (454353353454).

The spelling of 123023033133 in words is "one hundred twenty-three billion, twenty-three million, thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 143 231 273 303 429 707 1001 1111 1313 2121 3003 3333 3939 7777 9191 14443 23331 27573 43329 101101 303303 405611 1216833 2839277 4461721 5272943 8517831 13385163 15818829 31232047 36910601 40966711 58002373 93696141 110731803 122900133 174007119 286766977 406016611 450633821 532567243 860300931 1218049833 1351901463 1597701729 3154436747 3727970701 5858239673 9463310241 11183912103 17574719019 41007677711 123023033133