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13502423000 = 2353117611613
BaseRepresentation
bin11001001001100111…
…01001111111011000
31021212000012011020202
430210303221333120
5210123110014000
610111455441332
7655413462503
oct144463517730
937760164222
1013502423000
1157a9847280
122749b26248
1313724c4911
1492139213a
155405e7dd5
hex324ce9fd8

13502423000 has 128 divisors (see below), whose sum is σ = 34534693440. Its totient is φ = 4900480000.

The previous prime is 13502422963. The next prime is 13502423003. The reversal of 13502423000 is 32420531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13502423003) 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 31 ways as a sum of consecutive naturals, for example, 8370194 + ... + 8371806.

Almost surely, 213502423000 is an apocalyptic number.

13502423000 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 13502423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17267346720).

13502423000 is an abundant number, since it is smaller than the sum of its proper divisors (21032270440).

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

13502423000 is a wasteful number, since it uses less digits than its factorization.

13502423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13502423000 its reverse (32420531), we get a palindrome (13534843531).

The spelling of 13502423000 in words is "thirteen billion, five hundred two million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 761 1000 1100 1375 1522 1613 2200 2750 3044 3226 3805 5500 6088 6452 7610 8065 8371 11000 12904 15220 16130 16742 17743 19025 30440 32260 33484 35486 38050 40325 41855 64520 66968 70972 76100 80650 83710 88715 95125 141944 152200 161300 167420 177430 190250 201625 209275 322600 334840 354860 380500 403250 418550 443575 709720 761000 806500 837100 887150 1046375 1227493 1613000 1674200 1774300 2092750 2217875 2454986 3548600 4185500 4435750 4909972 6137465 8371000 8871500 9819944 12274930 13502423 17743000 24549860 27004846 30687325 49099720 54009692 61374650 67512115 108019384 122749300 135024230 153436625 245498600 270048460 306873250 337560575 540096920 613746500 675121150 1227493000 1350242300 1687802875 2700484600 3375605750 6751211500 13502423000