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123530000531 = 7237533593581
BaseRepresentation
bin111001100001011110…
…1100011100010010011
3102210212000111012212212
41303002331203202103
54010442140004111
6132425432342335
711632121452100
oct1630275434223
9383760435785
10123530000531
1148430512833
121bb35b449ab
13b858628c92
145d9c0b3aa7
15332ed3b98b
hex1cc2f63893

123530000531 has 48 divisors (see below), whose sum is σ = 150827417280. Its totient is φ = 100767663360.

The previous prime is 123530000509. The next prime is 123530000543. The reversal of 123530000531 is 135000035321.

It is not a de Polignac number, because 123530000531 - 26 = 123530000467 is a prime.

It is a super-2 number, since 2×1235300005312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123530000497 and 123530000506.

It is not an unprimeable number, because it can be changed into a prime (123530008531) 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, 34494161 + ... + 34497741.

It is an arithmetic number, because the mean of its divisors is an integer number (3142237860).

Almost surely, 2123530000531 is an apocalyptic number.

123530000531 is a deficient number, since it is larger than the sum of its proper divisors (27297416749).

123530000531 is a wasteful number, since it uses less digits than its factorization.

123530000531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

Adding to 123530000531 its reverse (135000035321), we get a palindrome (258530035852).

The spelling of 123530000531 in words is "one hundred twenty-three billion, five hundred thirty million, five hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 37 49 53 259 359 371 1813 1961 2513 2597 3581 13283 13727 17591 19027 25067 92981 96089 132497 133189 175469 189793 650867 703999 927479 932323 1285579 1328551 4927993 6492353 7022341 8999053 9299857 34495951 47566423 49156387 62993371 68135687 332964961 344094709 476949809 2330754727 2521020419 3338648663 17647142933 123530000531