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1301340020 = 225192180241
BaseRepresentation
bin100110110010000…
…1101111101110100
310100200200220220112
41031210031331310
510131120340040
6333044122152
744151131141
oct11544157564
93320626815
101301340020
11608633022
12303996358
131797b6ba6
14c4b8d3c8
15793a7365
hex4d90df74

1301340020 has 36 divisors (see below), whose sum is σ = 2884232484. Its totient is φ = 493136640.

The previous prime is 1301339989. The next prime is 1301340091. The reversal of 1301340020 is 200431031.

It can be written as a sum of positive squares in 2 ways, for example, as 188183524 + 1113156496 = 13718^2 + 33364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1301339977 and 1301340004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82901 + ... + 97340.

It is an arithmetic number, because the mean of its divisors is an integer number (80117569).

Almost surely, 21301340020 is an apocalyptic number.

1301340020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301340020 is an abundant number, since it is smaller than the sum of its proper divisors (1582892464).

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

1301340020 is a wasteful number, since it uses less digits than its factorization.

1301340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180288 (or 180267 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1301340020 is about 36074.0907023309. The cubic root of 1301340020 is about 1091.7677512855.

Adding to 1301340020 its reverse (200431031), we get a palindrome (1501771051).

The spelling of 1301340020 in words is "one billion, three hundred one million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 180241 360482 720964 901205 1802410 3424579 3604820 6849158 13698316 17122895 34245790 65067001 68491580 130134002 260268004 325335005 650670010 1301340020