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13201411351300 = 2252177765536089
BaseRepresentation
bin1100000000011011000101…
…1011110010001100000100
31201202001011001111021210021
43000012301123302030010
53212242442301220200
644024351124504524
72531525165006254
oct300066133621404
951661131437707
1013201411351300
11422a761603027
121592631b4b144
13749b704cb9b3
14338d47731964
1517d5eb99441a
hexc01b16f2304

13201411351300 has 36 divisors (see below), whose sum is σ = 30332183967540. Its totient is φ = 4969943096320.

The previous prime is 13201411351277. The next prime is 13201411351301. The reversal of 13201411351300 is 315311410231.

It can be written as a sum of positive squares in 6 ways, for example, as 254411289664 + 12947000061636 = 504392^2 + 3598194^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13201411351301) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3882766345 + ... + 3882769744.

It is an arithmetic number, because the mean of its divisors is an integer number (842560665765).

Almost surely, 213201411351300 is an apocalyptic number.

13201411351300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201411351300 is an abundant number, since it is smaller than the sum of its proper divisors (17130772616240).

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

13201411351300 is a wasteful number, since it uses less digits than its factorization.

13201411351300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765536120 (or 7765536113 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 13201411351300 its reverse (315311410231), we get a palindrome (13516722761531).

The spelling of 13201411351300 in words is "thirteen trillion, two hundred one billion, four hundred eleven million, three hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7765536089 15531072178 31062144356 38827680445 77655360890 132014113513 155310721780 194138402225 264028227026 388276804450 528056454052 660070567565 776553608900 1320141135130 2640282270260 3300352837825 6600705675650 13201411351300