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13424245100 = 22527181105953
BaseRepresentation
bin11001000000010010…
…11011100101101100
31021122120002022022222
430200021123211230
5204443101320400
610100024054512
7653444125550
oct144011334554
937576068288
1013424245100
115769700042
122727904438
13135c2519c6
14914c41860
15538804185
hex32025b96c

13424245100 has 72 divisors (see below), whose sum is σ = 33476378208. Its totient is φ = 4577126400.

The previous prime is 13424245099. The next prime is 13424245103. The reversal of 13424245100 is 154242431.

It is a self number, because there is not a number n which added to its sum of digits gives 13424245100.

It is not an unprimeable number, because it can be changed into a prime (13424245103) 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, 73724 + ... + 179676.

Almost surely, 213424245100 is an apocalyptic number.

13424245100 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 13424245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738189104).

13424245100 is an abundant number, since it is smaller than the sum of its proper divisors (20052133108).

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

13424245100 is a wasteful number, since it uses less digits than its factorization.

13424245100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106155 (or 106148 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 13424245100 its reverse (154242431), we get a palindrome (13578487531).

The spelling of 13424245100 in words is "thirteen billion, four hundred twenty-four million, two hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 181 350 362 700 724 905 1267 1810 2534 3620 4525 5068 6335 9050 12670 18100 25340 31675 63350 105953 126700 211906 423812 529765 741671 1059530 1483342 2119060 2648825 2966684 3708355 5297650 7416710 10595300 14833420 18541775 19177493 37083550 38354986 74167100 76709972 95887465 134242451 191774930 268484902 383549860 479437325 536969804 671212255 958874650 1342424510 1917749300 2684849020 3356061275 6712122550 13424245100