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10122323133 = 3131619160313
BaseRepresentation
bin10010110110101011…
…00110010010111101
3222010102221021220210
421123111212102331
5131212303320013
64352232303033
7505561220106
oct113325462275
928112837823
1010122323133
11432487320a
121b65b41a79
13c54148920
146c04c53ad
153e39c1cc3
hex25b5664bd

10122323133 has 16 divisors (see below), whose sum is σ = 14543686080. Its totient is φ = 6225235584.

The previous prime is 10122323053. The next prime is 10122323173. The reversal of 10122323133 is 33132322101.

It is not a de Polignac number, because 10122323133 - 28 = 10122322877 is a prime.

It is a super-2 number, since 2×101223231332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122323173) 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, 17016 + ... + 143297.

It is an arithmetic number, because the mean of its divisors is an integer number (908980380).

Almost surely, 210122323133 is an apocalyptic number.

10122323133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10122323133 is a deficient number, since it is larger than the sum of its proper divisors (4421362947).

10122323133 is a wasteful number, since it uses less digits than its factorization.

10122323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161948.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10122323133 its reverse (33132322101), we get a palindrome (43254645234).

The spelling of 10122323133 in words is "ten billion, one hundred twenty-two million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 13 39 1619 4857 21047 63141 160313 480939 2084069 6252207 259546747 778640241 3374107711 10122323133