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13424210010 = 23258310916487
BaseRepresentation
bin11001000000010010…
…10011000001011010
31021122120000112012100
430200021103001122
5204443044210020
610100023224230
7653443621341
oct144011230132
937576015170
1013424210010
115769686742
1227278a8076
13135c23ba43
14914c32b58
155387e8a90
hex32025305a

13424210010 has 96 divisors (see below), whose sum is σ = 35649694080. Its totient is φ = 3504000384.

The previous prime is 13424209999. The next prime is 13424210027. The reversal of 13424210010 is 1001242431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805987 + ... + 822473.

It is an arithmetic number, because the mean of its divisors is an integer number (371350980).

Almost surely, 213424210010 is an apocalyptic number.

13424210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13424210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824847040).

13424210010 is an abundant number, since it is smaller than the sum of its proper divisors (22225484070).

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

13424210010 is a wasteful number, since it uses less digits than its factorization.

13424210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16692 (or 16689 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13424210010 its reverse (1001242431), we get a palindrome (14425452441).

The spelling of 13424210010 in words is "thirteen billion, four hundred twenty-four million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 109 166 218 249 327 415 498 545 654 747 830 981 1090 1245 1494 1635 1962 2490 3270 3735 4905 7470 9047 9810 16487 18094 27141 32974 45235 49461 54282 81423 82435 90470 98922 135705 148383 162846 164870 247305 271410 296766 407115 494610 741915 814230 1368421 1483830 1797083 2736842 3594166 4105263 5391249 6842105 8210526 8985415 10782498 12315789 13684210 16173747 17970830 20526315 24631578 26956245 32347494 41052630 53912490 61578945 80868735 123157890 149157889 161737470 298315778 447473667 745789445 894947334 1342421001 1491578890 2237368335 2684842002 4474736670 6712105005 13424210010