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13354053400 = 2352292519173
BaseRepresentation
bin11000110111111011…
…01010111100011000
31021110200000012102101
430123331222330120
5204322114202100
610045035413144
7651632403202
oct143375527430
937420005371
1013354053400
115733018a76
1227082b41b4
13134a846b5c
149097ad772
1553258b86a
hex31bf6af18

13354053400 has 96 divisors (see below), whose sum is σ = 32250279600. Its totient is φ = 5136320000.

The previous prime is 13354053397. The next prime is 13354053403. The reversal of 13354053400 is 435045331.

It is an interprime number because it is at equal distance from previous prime (13354053397) and next prime (13354053403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354053403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451214 + ... + 1460386.

Almost surely, 213354053400 is an apocalyptic number.

13354053400 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 13354053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125139800).

13354053400 is an abundant number, since it is smaller than the sum of its proper divisors (18896226200).

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

13354053400 is a wasteful number, since it uses less digits than its factorization.

13354053400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 13354053400 its reverse (435045331), we get a palindrome (13789098731).

The spelling of 13354053400 in words is "thirteen billion, three hundred fifty-four million, fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 251 290 502 580 725 1004 1160 1255 1450 2008 2510 2900 5020 5800 6275 7279 9173 10040 12550 14558 18346 25100 29116 36395 36692 45865 50200 58232 72790 73384 91730 145580 181975 183460 229325 266017 291160 363950 366920 458650 532034 727900 917300 1064068 1330085 1455800 1834600 2128136 2302423 2660170 4604846 5320340 6650425 9209692 10640680 11512115 13300850 18419384 23024230 26601700 46048460 53203400 57560575 66770267 92096920 115121150 133540534 230242300 267081068 333851335 460484600 534162136 667702670 1335405340 1669256675 2670810680 3338513350 6677026700 13354053400