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1320031434340 = 225224473294029
BaseRepresentation
bin10011001101011000000…
…000010011011001100100
311200012020021000202021201
4103031120000103121210
5133111411021344330
62450225234452244
7164240416026523
oct23153000233144
94605207022251
101320031434340
11469905371303
121939b7a34084
139762b159b78
1447c65ad44ba
152450c7eeeca
hex13358013664

1320031434340 has 24 divisors (see below), whose sum is σ = 2772087789240. Its totient is φ = 528008425728.

The previous prime is 1320031434299. The next prime is 1320031434391. The reversal of 1320031434340 is 434341300231.

It can be written as a sum of positive squares in 4 ways, for example, as 161187796324 + 1158843638016 = 401482^2 + 1076496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1320031434299 and 1320031434308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4342446 + ... + 4636474.

It is an arithmetic number, because the mean of its divisors is an integer number (115503657885).

Almost surely, 21320031434340 is an apocalyptic number.

1320031434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320031434340 is an abundant number, since it is smaller than the sum of its proper divisors (1452056354900).

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

1320031434340 is a wasteful number, since it uses less digits than its factorization.

1320031434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518511 (or 518509 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1320031434340 its reverse (434341300231), we get a palindrome (1754372734571).

The spelling of 1320031434340 in words is "one trillion, three hundred twenty billion, thirty-one million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 224473 294029 448946 588058 897892 1122365 1176116 1470145 2244730 2940290 4489460 5880580 66001571717 132003143434 264006286868 330007858585 660015717170 1320031434340