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13324121300 = 2252767328283
BaseRepresentation
bin11000110100010110…
…11111010011010100
31021101120200111022002
430122023133103110
5204241433340200
610042050054432
7651120106460
oct143213372324
937346614262
1013324121300
1157181345a6
1226ba27a418
131344596a59
1490581b4a0
1552eb27bd5
hex31a2df4d4

13324121300 has 72 divisors (see below), whose sum is σ = 33094090176. Its totient is φ = 4561320960.

The previous prime is 13324121299. The next prime is 13324121339. The reversal of 13324121300 is 312142331.

It is a super-2 number, since 2×133241213002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456959 + ... + 485241.

Almost surely, 213324121300 is an apocalyptic number.

13324121300 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 13324121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547045088).

13324121300 is an abundant number, since it is smaller than the sum of its proper divisors (19769968876).

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

13324121300 is a wasteful number, since it uses less digits than its factorization.

13324121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28977 (or 28970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13324121300 its reverse (312142331), we get a palindrome (13636263631).

The spelling of 13324121300 in words is "thirteen billion, three hundred twenty-four million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 673 700 1346 2692 3365 4711 6730 9422 13460 16825 18844 23555 28283 33650 47110 56566 67300 94220 113132 117775 141415 197981 235550 282830 395962 471100 565660 707075 791924 989905 1414150 1979810 2828300 3959620 4949525 9899050 19034459 19798100 38068918 76137836 95172295 133241213 190344590 266482426 380689180 475861475 532964852 666206065 951722950 1332412130 1903445900 2664824260 3331030325 6662060650 13324121300