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1301313300 = 2235274314411
BaseRepresentation
bin100110110010000…
…0111011100010100
310100200122120020220
41031210013130110
510131114011200
6333043354340
744150660220
oct11544073424
93320576226
101301313300
11608614a41
123039829b0
131797a7991
14c4b83780
157939e4a0
hex4d907714

1301313300 has 144 divisors (see below), whose sum is σ = 4403384832. Its totient is φ = 290505600.

The previous prime is 1301313289. The next prime is 1301313301. The reversal of 1301313300 is 33131031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1301313300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301313301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83095 + ... + 97505.

Almost surely, 21301313300 is an apocalyptic number.

1301313300 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 1301313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201692416).

1301313300 is an abundant number, since it is smaller than the sum of its proper divisors (3102071532).

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

1301313300 is a wasteful number, since it uses less digits than its factorization.

1301313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14478 (or 14471 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1301313300 is about 36073.7203515246. The cubic root of 1301313300 is about 1091.7602789279.

Adding to 1301313300 its reverse (33131031), we get a palindrome (1334444331).

The spelling of 1301313300 in words is "one billion, three hundred one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 12900 14411 15050 18060 22575 28822 30100 43233 45150 57644 72055 86466 90300 100877 144110 172932 201754 216165 288220 302631 360275 403508 432330 504385 605262 619673 720550 864660 1008770 1080825 1210524 1239346 1441100 1513155 1859019 2017540 2161650 2478692 2521925 3026310 3098365 3718038 4323300 4337711 5043850 6052620 6196730 7436076 7565775 8675422 9295095 10087700 12393460 13013133 15131550 15491825 17350844 18590190 21688555 26026266 30263100 30983650 37180380 43377110 46475475 52052532 61967300 65065665 86754220 92950950 108442775 130131330 185901900 216885550 260262660 325328325 433771100 650656650 1301313300