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1301321320 = 235132502541
BaseRepresentation
bin100110110010000…
…1001011001101000
310100200122222020221
41031210021121220
510131114240240
6333043455424
744151022465
oct11544113150
93320588227
101301321320
1160861aa72
12303987574
131797ab520
14c4b8666c
15793a1a4a
hex4d909668

1301321320 has 32 divisors (see below), whose sum is σ = 3153202920. Its totient is φ = 480487680.

The previous prime is 1301321293. The next prime is 1301321323. The reversal of 1301321320 is 231231031.

It can be written as a sum of positive squares in 4 ways, for example, as 687173796 + 614147524 = 26214^2 + 24782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1301321294 and 1301321303.

It is not an unprimeable number, because it can be changed into a prime (1301321323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1250751 + ... + 1251790.

Almost surely, 21301321320 is an apocalyptic number.

1301321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301321320 is an abundant number, since it is smaller than the sum of its proper divisors (1851881600).

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

1301321320 is a wasteful number, since it uses less digits than its factorization.

1301321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502565 (or 2502561 counting only the distinct ones).

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

The square root of 1301321320 is about 36073.8315126076. The cubic root of 1301321320 is about 1091.7625217646.

Adding to 1301321320 its reverse (231231031), we get a palindrome (1532552351).

The spelling of 1301321320 in words is "one billion, three hundred one million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2502541 5005082 10010164 12512705 20020328 25025410 32533033 50050820 65066066 100101640 130132132 162665165 260264264 325330330 650660660 1301321320