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1322131300000 = 255571888759
BaseRepresentation
bin10011001111010101001…
…010101001111010100000
311200101122121021222102221
4103033111022221322200
5133130211103100000
62451213450120424
7164343434424040
oct23172512517240
94611577258387
101322131300000
1146a792718475
121942a3120114
13978a41cb824
1447dc4947720
15245d1d3c61a
hex133d52a9ea0

1322131300000 has 144 divisors (see below), whose sum is σ = 3718258266240. Its totient is φ = 453301920000.

The previous prime is 1322131299989. The next prime is 1322131300003. The reversal of 1322131300000 is 31312231.

It is a super-3 number, since 3×13221313000003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1322131300003) 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, 244380 + ... + 1644379.

It is an arithmetic number, because the mean of its divisors is an integer number (25821237960).

Almost surely, 21322131300000 is an apocalyptic number.

1322131300000 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 1322131300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859129133120).

1322131300000 is an abundant number, since it is smaller than the sum of its proper divisors (2396126966240).

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

1322131300000 is an frugal number, since it uses more digits than its factorization.

1322131300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888801 (or 1888773 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1322131300000 its reverse (31312231), we get a palindrome (1322162612231).

The spelling of 1322131300000 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, three hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 35000 43750 50000 70000 87500 100000 140000 175000 350000 700000 1888759 3777518 7555036 9443795 13221313 15110072 18887590 26442626 30220144 37775180 47218975 52885252 60440288 66106565 75550360 94437950 105770504 132213130 151100720 188875900 211541008 236094875 264426260 302201440 330532825 377751800 423082016 472189750 528852520 661065650 755503600 944379500 1057705040 1180474375 1322131300 1511007200 1652664125 1888759000 2115410080 2360948750 2644262600 3305328250 3777518000 4721897500 5288525200 5902371875 6610656500 7555036000 8263320625 9443795000 10577050400 11804743750 13221313000 16526641250 18887590000 23609487500 26442626000 33053282500 37775180000 41316603125 47218975000 52885252000 66106565000 82633206250 94437950000 132213130000 165266412500 188875900000 264426260000 330532825000 661065650000 1322131300000