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10430041365 = 32517132110321
BaseRepresentation
bin10011011011010110…
…11100110100010101
3222220212221222222100
421231223130310111
5132330042310430
64442543552313
7516315613602
oct115553346425
928825858870
1010430041365
1144725394a7
122030bbb699
13ca2b19813
1470d3076a9
15410a07960
hex26dadcd15

10430041365 has 48 divisors (see below), whose sum is σ = 19158540336. Its totient is φ = 5231001600.

The previous prime is 10430041339. The next prime is 10430041379. The reversal of 10430041365 is 56314003401.

It can be written as a sum of positive squares in 8 ways, for example, as 1307690244 + 9122351121 = 36162^2 + 95511^2 .

It is not a de Polignac number, because 10430041365 - 232 = 6135074069 is a prime.

It is a super-2 number, since 2×104300413652 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1005405 + ... + 1015725.

It is an arithmetic number, because the mean of its divisors is an integer number (399136257).

Almost surely, 210430041365 is an apocalyptic number.

10430041365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10430041365 is a deficient number, since it is larger than the sum of its proper divisors (8728498971).

10430041365 is a wasteful number, since it uses less digits than its factorization.

10430041365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11670 (or 11667 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10430041365 its reverse (56314003401), we get a palindrome (66744044766).

The spelling of 10430041365 in words is "ten billion, four hundred thirty million, forty-one thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1321 3963 6605 10321 11889 19815 22457 30963 51605 59445 67371 92889 112285 154815 175457 202113 336855 464445 526371 877285 1010565 1579113 2631855 7895565 13634041 40902123 68170205 122706369 204510615 231778697 613531845 695336091 1158893485 2086008273 3476680455 10430041365