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1301113220 = 2251123475471
BaseRepresentation
bin100110110001101…
…0110100110000100
310100200021101210112
41031203112212010
510131041110340
6333035212152
744146165001
oct11543264604
93320241715
101301113220
11608498690
123038a7058
131797378a4
14c4b308a8
1579360065
hex4d8d6984

1301113220 has 96 divisors (see below), whose sum is σ = 3177086976. Its totient is φ = 442851200.

The previous prime is 1301113181. The next prime is 1301113223. The reversal of 1301113220 is 223111031.

It is a super-2 number, since 2×13011132202 = 3385791222517536800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1301113195 and 1301113204.

It is not an unprimeable number, because it can be changed into a prime (1301113223) 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, 235085 + ... + 240555.

It is an arithmetic number, because the mean of its divisors is an integer number (33094656).

Almost surely, 21301113220 is an apocalyptic number.

1301113220 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 1301113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588543488).

1301113220 is an abundant number, since it is smaller than the sum of its proper divisors (1875973756).

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

1301113220 is a wasteful number, since it uses less digits than its factorization.

1301113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1301113220 is about 36070.9470349754. The cubic root of 1301113220 is about 1091.7043224843.

Adding to 1301113220 its reverse (223111031), we get a palindrome (1524224251).

It can be divided in two parts, 130111 and 3220, that added together give a palindrome (133331).

The spelling of 1301113220 in words is "one billion, three hundred one million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 47 55 92 94 110 115 188 220 230 235 253 460 470 506 517 940 1012 1034 1081 1265 2068 2162 2530 2585 4324 5060 5170 5405 5471 10340 10810 10942 11891 21620 21884 23782 27355 47564 54710 59455 60181 109420 118910 120362 125833 237820 240724 251666 257137 300905 503332 514274 601810 629165 1028548 1203620 1258330 1285685 1384163 2516660 2571370 2768326 2828507 5142740 5536652 5657014 5914151 6920815 11314028 11828302 13841630 14142535 23656604 27683260 28285070 29570755 56570140 59141510 65055661 118283020 130111322 260222644 325278305 650556610 1301113220