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13430423220 = 22351922751899
BaseRepresentation
bin11001000001000001…
…11111111010110100
31021122222201012010020
430200200333322310
5210001142020340
610100404325140
7653550466554
oct144040777264
937588635106
1013430423220
11577213a825
1227299a37b0
131360605ab6
149159ad164
155391249d0
hex32083feb4

13430423220 has 96 divisors (see below), whose sum is σ = 39759552000. Its totient is φ = 3377937024.

The previous prime is 13430423219. The next prime is 13430423231. The reversal of 13430423220 is 2232403431.

13430423220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 232831 + ... + 284729.

It is an arithmetic number, because the mean of its divisors is an integer number (414162000).

Almost surely, 213430423220 is an apocalyptic number.

13430423220 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 13430423220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19879776000).

13430423220 is an abundant number, since it is smaller than the sum of its proper divisors (26329128780).

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

13430423220 is a wasteful number, since it uses less digits than its factorization.

13430423220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52157 (or 52155 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13430423220 its reverse (2232403431), we get a palindrome (15662826651).

The spelling of 13430423220 in words is "thirteen billion, four hundred thirty million, four hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 227 228 285 380 454 570 681 908 1135 1140 1362 2270 2724 3405 4313 4540 6810 8626 12939 13620 17252 21565 25878 43130 51756 51899 64695 86260 103798 129390 155697 207596 258780 259495 311394 518990 622788 778485 986081 1037980 1556970 1972162 2958243 3113940 3944324 4930405 5916486 9860810 11781073 11832972 14791215 19721620 23562146 29582430 35343219 47124292 58905365 59164860 70686438 117810730 141372876 176716095 223840387 235621460 353432190 447680774 671521161 706864380 895361548 1119201935 1343042322 2238403870 2686084644 3357605805 4476807740 6715211610 13430423220