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10035133024 = 257192357879
BaseRepresentation
bin10010101100010001…
…11111101001100000
3221220100212120120111
421112020333221200
5131022443224044
64335435421104
7503452136410
oct112610775140
927810776514
1010035133024
11428a630a74
121b408b4794
13c3c06b947
146b2aaa640
153daeecb34
hex25623fa60

10035133024 has 48 divisors (see below), whose sum is σ = 23767430400. Its totient is φ = 4074413184.

The previous prime is 10035133021. The next prime is 10035133033. The reversal of 10035133024 is 42033153001.

It is a junction number, because it is equal to n+sod(n) for n = 10035132986 and 10035133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10035133021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1174684 + ... + 1183195.

It is an arithmetic number, because the mean of its divisors is an integer number (495154800).

Almost surely, 210035133024 is an apocalyptic number.

10035133024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10035133024 is an abundant number, since it is smaller than the sum of its proper divisors (13732297376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10035133024 is a wasteful number, since it uses less digits than its factorization.

10035133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357915 (or 2357907 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 10035133024 its reverse (42033153001), we get a palindrome (52068286025).

The spelling of 10035133024 in words is "ten billion, thirty-five million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 2357879 4715758 9431516 16505153 18863032 33010306 37726064 44799701 66020612 75452128 89599402 132041224 179198804 264082448 313597907 358397608 528164896 627195814 716795216 1254391628 1433590432 2508783256 5017566512 10035133024