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1301135340 = 2235374091433
BaseRepresentation
bin100110110001101…
…1011111111101100
310100200022112010210
41031203123333230
510131042312330
6333035502420
744146316331
oct11543337754
93320275123
101301135340
1160850326a
123038b7a10
1317974498b
14c4b38988
15793668b0
hex4d8dbfec

1301135340 has 96 divisors (see below), whose sum is σ = 3753408960. Its totient is φ = 336531456.

The previous prime is 1301135327. The next prime is 1301135347. The reversal of 1301135340 is 435311031.

It is not an unprimeable number, because it can be changed into a prime (1301135347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907264 + ... + 908696.

It is an arithmetic number, because the mean of its divisors is an integer number (39098010).

Almost surely, 21301135340 is an apocalyptic number.

1301135340 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 1301135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876704480).

1301135340 is an abundant number, since it is smaller than the sum of its proper divisors (2452273620).

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

1301135340 is a wasteful number, since it uses less digits than its factorization.

1301135340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1301135340 is about 36071.2536516268. The cubic root of 1301135340 is about 1091.7105090745.

Adding to 1301135340 its reverse (435311031), we get a palindrome (1736446371).

The spelling of 1301135340 in words is "one billion, three hundred one million, one hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 409 444 555 740 818 1110 1227 1433 1636 2045 2220 2454 2866 4090 4299 4908 5732 6135 7165 8180 8598 12270 14330 15133 17196 21495 24540 28660 30266 42990 45399 53021 60532 75665 85980 90798 106042 151330 159063 181596 212084 226995 265105 302660 318126 453990 530210 586097 636252 795315 907980 1060420 1172194 1590630 1758291 2344388 2930485 3181260 3516582 5860970 7033164 8791455 11721940 17582910 21685589 35165820 43371178 65056767 86742356 108427945 130113534 216855890 260227068 325283835 433711780 650567670 1301135340