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1310222320 = 245112951341
BaseRepresentation
bin100111000011000…
…0110011111110000
310101022102012010121
41032012012133300
510140404103240
6334002340024
744316464101
oct11606063760
93338365117
101310222320
1161264a470
1230695a614
1317b5a6aa4
14c60223a8
157a05e04a
hex4e1867f0

1310222320 has 80 divisors (see below), whose sum is σ = 3437860320. Its totient is φ = 460006400.

The previous prime is 1310222299. The next prime is 1310222339. The reversal of 1310222320 is 232220131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1310222294 and 1310222303.

It is a congruent number.

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, 151 + ... + 51190.

It is an arithmetic number, because the mean of its divisors is an integer number (42973254).

Almost surely, 21310222320 is an apocalyptic number.

1310222320 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 1310222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718930160).

1310222320 is an abundant number, since it is smaller than the sum of its proper divisors (2127638000).

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

1310222320 is a wasteful number, since it uses less digits than its factorization.

1310222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51394 (or 51388 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1310222320 is about 36196.9932452959. The cubic root of 1310222320 is about 1094.2460758336.

Adding to 1310222320 its reverse (232220131), we get a palindrome (1542442451).

The spelling of 1310222320 in words is "one billion, three hundred ten million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 51341 102682 205364 256705 410728 513410 564751 821456 1026820 1129502 1488889 2053640 2259004 2823755 2977778 4107280 4518008 5647510 5955556 7444445 9036016 11295020 11911112 14888890 16377779 22590040 23822224 29777780 32755558 45180080 59555560 65511116 81888895 119111120 131022232 163777790 262044464 327555580 655111160 1310222320