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10403103320 = 2352328140241
BaseRepresentation
bin10011011000001001…
…01100001001011000
3222212000021101220222
421230010230021120
5132301143301240
64440142335212
7515540630201
oct115404541130
928760241828
1010403103320
11445930a555
122023b8a508
13c9a37744c
147098d45a8
1540d485eb5
hex26c12c258

10403103320 has 64 divisors (see below), whose sum is σ = 24512207040. Its totient is φ = 3966054400.

The previous prime is 10403103259. The next prime is 10403103379. The reversal of 10403103320 is 2330130401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238400 + ... + 278640.

It is an arithmetic number, because the mean of its divisors is an integer number (383003235).

Almost surely, 210403103320 is an apocalyptic number.

10403103320 is a gapful number since it is divisible by the number (10) 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 10403103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12256103520).

10403103320 is an abundant number, since it is smaller than the sum of its proper divisors (14109103720).

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

10403103320 is a wasteful number, since it uses less digits than its factorization.

10403103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40556 (or 40552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10403103320 its reverse (2330130401), we get a palindrome (12733233721).

The spelling of 10403103320 in words is "ten billion, four hundred three million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 281 460 562 920 1124 1405 2248 2810 5620 6463 11240 12926 25852 32315 40241 51704 64630 80482 129260 160964 201205 258520 321928 402410 804820 925543 1609640 1851086 3702172 4627715 7404344 9255430 11307721 18510860 22615442 37021720 45230884 56538605 90461768 113077210 226154420 260077583 452308840 520155166 1040310332 1300387915 2080620664 2600775830 5201551660 10403103320