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13113221300 = 2252349401937
BaseRepresentation
bin11000011011001101…
…11110000010110100
31020211212211122212222
430031212332002310
5203323441040200
610005113501512
7642646353614
oct141546760264
936755748788
1013113221300
11561a087283
12265b711898
13130c99435a
148c57dca44
1551b368d85
hex30d9be0b4

13113221300 has 72 divisors (see below), whose sum is σ = 28638922200. Its totient is φ = 5211648000.

The previous prime is 13113221267. The next prime is 13113221411. The reversal of 13113221300 is 312231131.

13113221300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1516946704 + 11596274596 = 38948^2 + 107686^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13994432 + ... + 13995368.

Almost surely, 213113221300 is an apocalyptic number.

13113221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113221300 is an abundant number, since it is smaller than the sum of its proper divisors (15525700900).

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

13113221300 is a wasteful number, since it uses less digits than its factorization.

13113221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13113221300 its reverse (312231131), we get a palindrome (13425452431).

The spelling of 13113221300 in words is "thirteen billion, one hundred thirteen million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 349 401 698 802 937 1396 1604 1745 1874 2005 3490 3748 4010 4685 6980 8020 8725 9370 10025 17450 18740 20050 23425 34900 40100 46850 93700 139949 279898 327013 375737 559796 654026 699745 751474 1308052 1399490 1502948 1635065 1878685 2798980 3270130 3498725 3757370 6540260 6997450 7514740 8175325 9393425 13994900 16350650 18786850 32701300 37573700 131132213 262264426 524528852 655661065 1311322130 2622644260 3278305325 6556610650 13113221300