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10354024241 = 1123371915791
BaseRepresentation
bin10011010010010010…
…11101111100110001
3222201120220221002022
421221021131330301
5132201112233431
64431230401225
7514403516411
oct115111357461
928646827068
1010354024241
114433638730
12200b660215
13c90152282
1470319a641
15408ede07b
hex26925df31

10354024241 has 32 divisors (see below), whose sum is σ = 12170428416. Its totient is φ = 8712792000.

The previous prime is 10354024231. The next prime is 10354024271. The reversal of 10354024241 is 14242045301.

It is not a de Polignac number, because 10354024241 - 222 = 10349829937 is a prime.

It is a super-3 number, since 3×103540242413 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10354024241.

It is not an unprimeable number, because it can be changed into a prime (10354024231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1785056 + ... + 1790846.

It is an arithmetic number, because the mean of its divisors is an integer number (380325888).

Almost surely, 210354024241 is an apocalyptic number.

10354024241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10354024241 is a deficient number, since it is larger than the sum of its proper divisors (1816404175).

10354024241 is a wasteful number, since it uses less digits than its factorization.

10354024241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10354024241 its reverse (14242045301), we get a palindrome (24596069542).

The spelling of 10354024241 in words is "ten billion, three hundred fifty-four million, twenty-four thousand, two hundred forty-one".

Divisors: 1 11 23 37 191 253 407 851 2101 4393 5791 7067 9361 48323 63701 77737 133193 162541 214267 1106081 1465123 1787951 2356937 4928141 12166891 25439863 40924997 54209551 279838493 450174967 941274931 10354024241