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123203030013 = 32711327136379
BaseRepresentation
bin111001010111101111…
…0010000101111111101
3102210000020020101122200
41302233132100233331
54004304433430023
6132333152302113
711621041322220
oct1625736205775
9383006211580
10123203030013
1148282997a68
121ba64541939
13b8059770bb
145d6a8bd5b7
1533112a1743
hex1caf790bfd

123203030013 has 48 divisors (see below), whose sum is σ = 205290433920. Its totient is φ = 69742052352.

The previous prime is 123203029997. The next prime is 123203030023. The reversal of 123203030013 is 310030302321.

123203030013 is a `hidden beast` number, since 1 + 2 + 320 + 30 + 300 + 13 = 666.

It is not a de Polignac number, because 123203030013 - 24 = 123203029997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123203030023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19310658 + ... + 19317036.

It is an arithmetic number, because the mean of its divisors is an integer number (4276884040).

Almost surely, 2123203030013 is an apocalyptic number.

It is an amenable number.

123203030013 is a deficient number, since it is larger than the sum of its proper divisors (82087403907).

123203030013 is a wasteful number, since it uses less digits than its factorization.

123203030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218 (or 9215 counting only the distinct ones).

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

Adding to 123203030013 its reverse (310030302321), we get a palindrome (433233332334).

The spelling of 123203030013 in words is "one hundred twenty-three billion, two hundred three million, thirty thousand, thirteen".

Divisors: 1 3 7 9 21 63 113 339 791 1017 2373 2713 6379 7119 8139 18991 19137 24417 44653 56973 57411 133959 170919 306569 401877 720827 919707 2145983 2162481 2759121 5045789 6437949 6487443 15137367 17306227 19313847 45412101 51918681 121143589 155756043 363430767 1090292301 1955603651 5866810953 13689225557 17600432859 41067676671 123203030013