Search a number
-
+
1313433444200 = 235259791408961
BaseRepresentation
bin10011000111001110101…
…110111101111101101000
311122120012102202010100112
4103013032232331331220
5133004402430203300
62443214420553452
7163615051032623
oct23071656757550
94576172663315
101313433444200
11467029a35699
12192676252888
1396b1921a2a7
14477db702dba
1524273444e35
hex131cebbdf68

1313433444200 has 96 divisors (see below), whose sum is σ = 3144803184000. Its totient is φ = 509930803200.

The previous prime is 1313433444101. The next prime is 1313433444269. The reversal of 1313433444200 is 24443343131.

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, 227720 + ... + 1636680.

It is an arithmetic number, because the mean of its divisors is an integer number (32758366500).

Almost surely, 21313433444200 is an apocalyptic number.

1313433444200 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 1313433444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572401592000).

1313433444200 is an abundant number, since it is smaller than the sum of its proper divisors (1831369739800).

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

1313433444200 is a wasteful number, since it uses less digits than its factorization.

1313433444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409115 (or 1409106 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 1313433444200 its reverse (24443343131), we get a palindrome (1337876787331).

The spelling of 1313433444200 in words is "one trillion, three hundred thirteen billion, four hundred thirty-three million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 79 100 118 158 200 236 295 316 395 472 590 632 790 1180 1475 1580 1975 2360 2950 3160 3950 4661 5900 7900 9322 11800 15800 18644 23305 37288 46610 93220 116525 186440 233050 466100 932200 1408961 2817922 5635844 7044805 11271688 14089610 28179220 35224025 56358440 70448050 83128699 111307919 140896100 166257398 222615838 281792200 332514796 415643495 445231676 556539595 665029592 831286990 890463352 1113079190 1662573980 2078217475 2226158380 2782697975 3325147960 4156434950 4452316760 5565395950 6567167221 8312869900 11130791900 13134334442 16625739800 22261583800 26268668884 32835836105 52537337768 65671672210 131343344420 164179180525 262686688840 328358361050 656716722100 1313433444200