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1303431002120 = 235132192815237
BaseRepresentation
bin10010111101111010100…
…010101011100000001000
311121121101100101102022202
4102331322202223200020
5132323411314031440
62434442105535332
7163112143500122
oct22757242534010
94547340342282
101303431002120
11462866902935
121907444a4548
1395bb3b86400
144712d106212
1523d8a253615
hex12f7a8ab808

1303431002120 has 48 divisors (see below), whose sum is σ = 3175666969860. Its totient is φ = 481266829056.

The previous prime is 1303431001993. The next prime is 1303431002123. The reversal of 1303431002120 is 212001343031.

It can be written as a sum of positive squares in 6 ways, for example, as 33126184036 + 1270304818084 = 182006^2 + 1127078^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1303431002092 and 1303431002101.

It is not an unprimeable number, because it can be changed into a prime (1303431002123) 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, 96400859 + ... + 96414378.

Almost surely, 21303431002120 is an apocalyptic number.

1303431002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303431002120 is an abundant number, since it is smaller than the sum of its proper divisors (1872235967740).

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

1303431002120 is a wasteful number, since it uses less digits than its factorization.

1303431002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192815274 (or 192815257 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1303431002120 its reverse (212001343031), we get a palindrome (1515432345151).

The spelling of 1303431002120 in words is "one trillion, three hundred three billion, four hundred thirty-one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 192815237 385630474 771260948 964076185 1542521896 1928152370 2506598081 3856304740 5013196162 7712609480 10026392324 12532990405 20052784648 25065980810 32585775053 50131961620 65171550106 100263923240 130343100212 162928875265 260686200424 325857750530 651715501060 1303431002120