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10441313421 = 3731141149151
BaseRepresentation
bin10011011100101100…
…11100110010001101
3222221200011200022220
421232112130302031
5132340434012141
64444025325553
7516513462000
oct115626346215
928850150286
1010441313421
114478938350
1220349368b9
13ca5265386
147109dd537
154119d2766
hex26e59cc8d

10441313421 has 128 divisors (see below), whose sum is σ = 18385920000. Its totient is φ = 5221440000.

The previous prime is 10441313413. The next prime is 10441313429. The reversal of 10441313421 is 12431314401.

It is an interprime number because it is at equal distance from previous prime (10441313413) and next prime (10441313429).

It is not a de Polignac number, because 10441313421 - 23 = 10441313413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10441313391 and 10441313400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441313429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69147696 + ... + 69147846.

It is an arithmetic number, because the mean of its divisors is an integer number (143640000).

Almost surely, 210441313421 is an apocalyptic number.

10441313421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10441313421 is a deficient number, since it is larger than the sum of its proper divisors (7944606579).

10441313421 is a wasteful number, since it uses less digits than its factorization.

10441313421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10441313421 its reverse (12431314401), we get a palindrome (22872627822).

The spelling of 10441313421 in words is "ten billion, four hundred forty-one million, three hundred thirteen thousand, four hundred twenty-one".

Divisors: 1 3 7 11 21 33 41 49 77 123 147 149 151 231 287 343 447 451 453 539 861 1029 1043 1057 1353 1617 1639 1661 2009 3129 3157 3171 3773 4917 4983 6027 6109 6191 7301 7399 9471 11319 11473 11627 14063 18327 18573 21903 22099 22197 22499 34419 34881 42189 42763 43337 51107 51793 66297 67199 67497 68101 80311 81389 128289 130011 153321 154693 155379 157493 201597 204303 240933 244167 247489 299341 303359 464079 470393 472479 476707 562177 569723 742467 898023 910077 922459 1102451 1411179 1430121 1686531 1709169 1732423 2095387 2123513 2767377 3292751 3307353 3336949 5197269 6286161 6370539 6457213 7717157 9878253 10010847 10147049 12126961 19371639 23049257 23151471 23358643 30441147 36380883 45200491 69147771 70075929 71029343 84888727 135601473 213088029 254666181 316403437 497205401 949210311 1491616203 3480437807 10441313421