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1301301320 = 2351113921277
BaseRepresentation
bin100110110010000…
…0100100001001000
310100200121221211012
41031210010201020
510131113120240
6333043223052
744150610254
oct11544044110
93320557735
101301301320
11608606a40
12303977a88
131797a23a7
14c4b7d264
157939ab65
hex4d904848

1301301320 has 64 divisors (see below), whose sum is σ = 3217233600. Its totient is φ = 469774080.

The previous prime is 1301301319. The next prime is 1301301341. The reversal of 1301301320 is 231031031.

It is a junction number, because it is equal to n+sod(n) for n = 1301301295 and 1301301304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50522 + ... + 71798.

It is an arithmetic number, because the mean of its divisors is an integer number (50269275).

Almost surely, 21301301320 is an apocalyptic number.

1301301320 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 1301301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608616800).

1301301320 is an abundant number, since it is smaller than the sum of its proper divisors (1915932280).

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

1301301320 is a wasteful number, since it uses less digits than its factorization.

1301301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21438 (or 21434 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1301301320 is about 36073.5543022863. The cubic root of 1301301320 is about 1091.7569286386.

Adding to 1301301320 its reverse (231031031), we get a palindrome (1532332351).

The spelling of 1301301320 in words is "one billion, three hundred one million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 139 220 278 440 556 695 1112 1390 1529 2780 3058 5560 6116 7645 12232 15290 21277 30580 42554 61160 85108 106385 170216 212770 234047 425540 468094 851080 936188 1170235 1872376 2340470 2957503 4680940 5915006 9361880 11830012 14787515 23660024 29575030 32532533 59150060 65065066 118300120 130130132 162662665 260260264 325325330 650650660 1301301320