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13531132500 = 223544341957
BaseRepresentation
bin11001001101000010…
…01011001001010100
31021221000012202021120
430212201023021110
5210202432220000
610114403043540
7656212504614
oct144641131124
937830182246
1013531132500
115813a76136
1227576705b0
1313784373a2
14925106a44
15542db96a0
hex32684b254

13531132500 has 120 divisors (see below), whose sum is σ = 40371651936. Its totient is φ = 3524304000.

The previous prime is 13531132493. The next prime is 13531132513. The reversal of 13531132500 is 523113531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 301522 + ... + 343478.

Almost surely, 213531132500 is an apocalyptic number.

13531132500 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 13531132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20185825968).

13531132500 is an abundant number, since it is smaller than the sum of its proper divisors (26840519436).

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

13531132500 is a wasteful number, since it uses less digits than its factorization.

13531132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42027 (or 42010 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The spelling of 13531132500 in words is "thirteen billion, five hundred thirty-one million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 125 129 150 172 215 250 258 300 375 430 500 516 625 645 750 860 1075 1250 1290 1500 1875 2150 2500 2580 3225 3750 4300 5375 6450 7500 10750 12900 16125 21500 26875 32250 41957 53750 64500 80625 83914 107500 125871 161250 167828 209785 251742 322500 419570 503484 629355 839140 1048925 1258710 1804151 2097850 2517420 3146775 3608302 4195700 5244625 5412453 6293550 7216604 9020755 10489250 10824906 12587100 15733875 18041510 20978500 21649812 26223125 27062265 31467750 36083020 45103775 52446250 54124530 62935500 78669375 90207550 104892500 108249060 135311325 157338750 180415100 225518875 270622650 314677500 451037750 541245300 676556625 902075500 1127594375 1353113250 2255188750 2706226500 3382783125 4510377500 6765566250 13531132500