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1311232311200 = 25527234148627
BaseRepresentation
bin10011000101001011100…
…010010011111110100000
311122100112000220222112002
4103011023202103332200
5132440400432424300
62442212151023132
7163506362514350
oct23051342237640
94570460828462
101311232311200
114660aa501909
1219216106aaa8
13968581b0026
144766d24cb60
15241950a25d5
hex1314b893fa0

1311232311200 has 72 divisors (see below), whose sum is σ = 3658338163872. Its totient is φ = 449565361920.

The previous prime is 1311232311163. The next prime is 1311232311209. The reversal of 1311232311200 is 21132321131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1311232311209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117068714 + ... + 117079913.

It is an arithmetic number, because the mean of its divisors is an integer number (50810252276).

Almost surely, 21311232311200 is an apocalyptic number.

1311232311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311232311200 is an abundant number, since it is smaller than the sum of its proper divisors (2347105852672).

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

1311232311200 is a wasteful number, since it uses less digits than its factorization.

1311232311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234148654 (or 234148641 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1311232311200 its reverse (21132321131), we get a palindrome (1332364632331).

The spelling of 1311232311200 in words is "one trillion, three hundred eleven billion, two hundred thirty-two million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 234148627 468297254 936594508 1170743135 1639040389 1873189016 2341486270 3278080778 3746378032 4682972540 5853715675 6556161556 7492756064 8195201945 9365945080 11707431350 13112323112 16390403890 18731890160 23414862700 26224646224 32780807780 37463780320 40976009725 46829725400 52449292448 65561615560 81952019450 93659450800 131123231120 163904038900 187318901600 262246462240 327808077800 655616155600 1311232311200