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10123320233 = 132933537529
BaseRepresentation
bin10010110110110010…
…11001101110101001
3222010111210221200102
421123121121232221
5131213032221413
64352305515145
7505602542105
oct113331315651
928114727612
1010123320233
114325394364
121b66342ab5
13c54407720
146c06a4905
153e3b1c458
hex25b659ba9

10123320233 has 16 divisors (see below), whose sum is σ = 10971691920. Its totient is φ = 9285095424.

The previous prime is 10123320199. The next prime is 10123320247. The reversal of 10123320233 is 33202332101.

It can be written as a sum of positive squares in 8 ways, for example, as 28697449 + 10094622784 = 5357^2 + 100472^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10123320233 is a prime.

It is a super-2 number, since 2×101233202332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10123320253) 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 15 ways as a sum of consecutive naturals, for example, 1340813 + ... + 1348341.

It is an arithmetic number, because the mean of its divisors is an integer number (685730745).

Almost surely, 210123320233 is an apocalyptic number.

10123320233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10123320233 is a deficient number, since it is larger than the sum of its proper divisors (848371687).

10123320233 is a wasteful number, since it uses less digits than its factorization.

10123320233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10123320233 its reverse (33202332101), we get a palindrome (43325652334).

The spelling of 10123320233 in words is "ten billion, one hundred twenty-three million, three hundred twenty thousand, two hundred thirty-three".

Divisors: 1 13 293 353 3809 4589 7529 97877 103429 1344577 2205997 2657737 28677961 34550581 778716941 10123320233