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10403434104 = 2337174384713
BaseRepresentation
bin10011011000001011…
…11100111001111000
3222212000220012200020
421230011330321320
5132301234342404
64440153410440
7515543505450
oct115405747170
928760805606
1010403434104
114459516028
122024109a20
13c9a461b8b
1470997cd60
1540d4eded9
hex26c17ce78

10403434104 has 128 divisors (see below), whose sum is σ = 32204874240. Its totient is φ = 2732470272.

The previous prime is 10403434099. The next prime is 10403434109. The reversal of 10403434104 is 40143430401.

It is an interprime number because it is at equal distance from previous prime (10403434099) and next prime (10403434109).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403434109) 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, 80452 + ... + 165164.

It is an arithmetic number, because the mean of its divisors is an integer number (251600580).

Almost surely, 210403434104 is an apocalyptic number.

10403434104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10403434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16102437120).

10403434104 is an abundant number, since it is smaller than the sum of its proper divisors (21801440136).

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

10403434104 is a wasteful number, since it uses less digits than its factorization.

10403434104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84789 (or 84785 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10403434104 its reverse (40143430401), we get a palindrome (50546864505).

The spelling of 10403434104 in words is "ten billion, four hundred three million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 43 51 56 68 84 86 102 119 129 136 168 172 204 238 258 301 344 357 408 476 516 602 714 731 903 952 1032 1204 1428 1462 1806 2193 2408 2856 2924 3612 4386 5117 5848 7224 8772 10234 15351 17544 20468 30702 40936 61404 84713 122808 169426 254139 338852 508278 592991 677704 1016556 1185982 1440121 1778973 2033112 2371964 2880242 3557946 3642659 4320363 4743928 5760484 7115892 7285318 8640726 10080847 10927977 11520968 14231784 14570636 17281452 20161694 21855954 25498613 29141272 30242541 34562904 40323388 43711908 50997226 60485082 61925203 76495839 80646776 87423816 101994452 120970164 123850406 152991678 185775609 203988904 241940328 247700812 305983356 371551218 433476421 495401624 611966712 743102436 866952842 1300429263 1486204872 1733905684 2600858526 3467811368 5201717052 10403434104