Search a number
-
+
1311313432300 = 2252311918322051
BaseRepresentation
bin10011000101010000010…
…111110000111011101100
311122100201200120100202021
4103011100113300323230
5132441032214313200
62442224205435524
7163511366160124
oct23052027607354
94570650510667
101311313432300
11466141279343
1219218426bba4
139686bc43791
1447679d27c84
152419c27841a
hex131505f0eec

1311313432300 has 72 divisors (see below), whose sum is σ = 2937628424192. Its totient is φ = 507555720000.

The previous prime is 1311313432279. The next prime is 1311313432307. The reversal of 1311313432300 is 32343131131.

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 (1311313432307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59456275 + ... + 59478325.

Almost surely, 21311313432300 is an apocalyptic number.

1311313432300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311313432300 is an abundant number, since it is smaller than the sum of its proper divisors (1626314991892).

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

1311313432300 is a wasteful number, since it uses less digits than its factorization.

1311313432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41279 (or 41272 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1311313432300 its reverse (32343131131), we get a palindrome (1343656563431).

The spelling of 1311313432300 in words is "one trillion, three hundred eleven billion, three hundred thirteen million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 19183 22051 38366 44102 76732 88204 95915 110255 191830 220510 383660 441020 479575 551275 594673 683581 959150 1102550 1189346 1367162 1918300 2205100 2378692 2734324 2973365 3417905 5946730 6835810 11893460 13671620 14866825 17089525 29733650 34179050 59467300 68358100 423004333 846008666 1692017332 2115021665 4230043330 8460086660 10575108325 13113134323 21150216650 26226268646 42300433300 52452537292 65565671615 131131343230 262262686460 327828358075 655656716150 1311313432300