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10330014420 = 22325112474289
BaseRepresentation
bin10011001111011011…
…11000001011010100
3222122220202002210200
421213231320023110
5132123440430140
64425012020500
7513662450055
oct114755701324
928586662720
1010330014420
114421029800
122003601730
13c8819698b
146ddd0a72c
15406d4a030
hex267b782d4

10330014420 has 108 divisors (see below), whose sum is σ = 34441991220. Its totient is φ = 2504240640.

The previous prime is 10330014413. The next prime is 10330014421. The reversal of 10330014420 is 2441003301.

It can be written as a sum of positive squares in 2 ways, for example, as 1322485956 + 9007528464 = 36366^2 + 94908^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10330014393 and 10330014402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330014421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215365 + ... + 258924.

Almost surely, 210330014420 is an apocalyptic number.

10330014420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330014420 is an abundant number, since it is smaller than the sum of its proper divisors (24111976800).

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

10330014420 is a wasteful number, since it uses less digits than its factorization.

10330014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474326 (or 474310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10330014420 its reverse (2441003301), we get a palindrome (12771017721).

The spelling of 10330014420 in words is "ten billion, three hundred thirty million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 474289 948578 1422867 1897156 2371445 2845734 4268601 4742890 5217179 5691468 7114335 8537202 9485780 10434358 14228670 15651537 17074404 20868716 21343005 26085895 28457340 31303074 42686010 46954611 52171790 57388969 62606148 78257685 85372020 93909222 104343580 114777938 156515370 172166907 187818444 229555876 234773055 286944845 313030740 344333814 469546110 516500721 573889690 688667628 860834535 939092220 1033001442 1147779380 1721669070 2066002884 2582503605 3443338140 5165007210 10330014420