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13200505430 = 2572130120707
BaseRepresentation
bin11000100101100111…
…11011101001010110
31021001222002011012112
430102303323221112
5204013312133210
610021512351022
7645056305400
oct142263735126
937058064175
1013200505430
115664383122
1226849a5472
131324aa5078
148d323db70
15523d5ad05
hex312cfba56

13200505430 has 48 divisors (see below), whose sum is σ = 27662823216. Its totient is φ = 4522190400.

The previous prime is 13200505403. The next prime is 13200505433. The reversal of 13200505430 is 3450500231.

It is a junction number, because it is equal to n+sod(n) for n = 13200505396 and 13200505405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200505433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627137 + ... + 647843.

It is an arithmetic number, because the mean of its divisors is an integer number (576308817).

Almost surely, 213200505430 is an apocalyptic number.

13200505430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13200505430 is an abundant number, since it is smaller than the sum of its proper divisors (14462317786).

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

13200505430 is a wasteful number, since it uses less digits than its factorization.

13200505430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22029 (or 22022 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 13200505430 in words is "thirteen billion, two hundred million, five hundred five thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1301 2602 6505 9107 13010 18214 20707 41414 45535 63749 91070 103535 127498 144949 207070 289898 318745 637490 724745 1014643 1449490 2029286 5073215 10146430 26939807 53879614 134699035 188578649 269398070 377157298 942893245 1320050543 1885786490 2640101086 6600252715 13200505430