Search a number
-
+
10354112153 = 711373634297
BaseRepresentation
bin10011010010010011…
…10011011010011001
3222201121002101200022
421221021303122121
5132201123042103
64431232320225
7514404333620
oct115111633231
928647071608
1010354112153
114433698790
12200b6a3075
13c901832a8
147031c06b7
1540900a138
hex269273699

10354112153 has 16 divisors (see below), whose sum is σ = 13257919104. Its totient is φ = 7850079360.

The previous prime is 10354112117. The next prime is 10354112207. The reversal of 10354112153 is 35121145301.

10354112153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10354112153 - 212 = 10354108057 is a prime.

It is a super-3 number, since 3×103541121533 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10354112113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1814300 + ... + 1819997.

It is an arithmetic number, because the mean of its divisors is an integer number (828619944).

Almost surely, 210354112153 is an apocalyptic number.

It is an amenable number.

10354112153 is a deficient number, since it is larger than the sum of its proper divisors (2903806951).

10354112153 is a wasteful number, since it uses less digits than its factorization.

10354112153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634352.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 10354112153 its reverse (35121145301), we get a palindrome (45475257454).

The spelling of 10354112153 in words is "ten billion, three hundred fifty-four million, one hundred twelve thousand, one hundred fifty-three".

Divisors: 1 7 11 37 77 259 407 2849 3634297 25440079 39977267 134468989 279840869 941282923 1479158879 10354112153