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123428000521 = 7296718115011
BaseRepresentation
bin111001011110011100…
…0011101001100001001
3102210120220120002011201
41302330320131030021
54010240032004041
6132411350224201
711626442460010
oct1627470351411
9383526502151
10123428000521
1148388985701
121bb07955061
13b840465047
145d8c721a77
153325dde631
hex1cbce1d309

123428000521 has 32 divisors (see below), whose sum is σ = 148214062080. Its totient is φ = 100547092800.

The previous prime is 123428000477. The next prime is 123428000587. The reversal of 123428000521 is 125000824321.

It is not a de Polignac number, because 123428000521 - 217 = 123427869449 is a prime.

It is a super-2 number, since 2×1234280005212 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123428000521.

It is not an unprimeable number, because it can be changed into a prime (123428000021) 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 31 ways as a sum of consecutive naturals, for example, 24628906 + ... + 24633916.

It is an arithmetic number, because the mean of its divisors is an integer number (4631689440).

Almost surely, 2123428000521 is an apocalyptic number.

It is an amenable number.

123428000521 is a deficient number, since it is larger than the sum of its proper divisors (24786061559).

123428000521 is a wasteful number, since it uses less digits than its factorization.

With its successor (123428000522) it forms an eRAP, since the sums of their prime factors are consecutive (6925 and 6926).

123428000521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 123428000521 its reverse (125000824321), we get a palindrome (248428824842).

The spelling of 123428000521 in words is "one hundred twenty-three billion, four hundred twenty-eight million, five hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 29 67 203 469 1811 1943 5011 12677 13601 35077 52519 121337 145319 335737 367633 849359 1017233 2350159 3518773 9074921 9736373 24631411 63524447 68154611 263172709 608019707 1842208963 4256137949 17632571503 123428000521