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14233310130 = 23513210726237
BaseRepresentation
bin11010100000101111…
…10001001110110010
31100201221111001220110
431100113301032302
5213122211411010
610312205122150
71012500065664
oct152027611662
940657431813
1014233310130
116044372626
122912859356
13145aa59a00
1499048a534
1558486c120
hex3505f13b2

14233310130 has 96 divisors (see below), whose sum is σ = 37336883904. Its totient is φ = 3470707968.

The previous prime is 14233310111. The next prime is 14233310167. The reversal of 14233310130 is 3101333241.

14233310130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14233310097 and 14233310106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529372 + ... + 555608.

It is an arithmetic number, because the mean of its divisors is an integer number (388925874).

Almost surely, 214233310130 is an apocalyptic number.

14233310130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14233310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18668441952).

14233310130 is an abundant number, since it is smaller than the sum of its proper divisors (23103573774).

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

14233310130 is a wasteful number, since it uses less digits than its factorization.

14233310130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26380 (or 26367 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 14233310130 its reverse (3101333241), we get a palindrome (17334643371).

The spelling of 14233310130 in words is "fourteen billion, two hundred thirty-three million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 169 195 214 321 338 390 507 535 642 845 1014 1070 1391 1605 1690 2535 2782 3210 4173 5070 6955 8346 13910 18083 20865 26237 36166 41730 52474 54249 78711 90415 108498 131185 157422 180830 262370 271245 341081 393555 542490 682162 787110 1023243 1705405 2046486 2807359 3410810 4434053 5116215 5614718 8422077 8868106 10232430 13302159 14036795 16844154 22170265 26604318 28073590 36495667 42110385 44340530 66510795 72991334 84220770 109487001 133021590 182478335 218974002 364956670 474443671 547435005 948887342 1094870010 1423331013 2372218355 2846662026 4744436710 7116655065 14233310130