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1313422000 = 245311227263
BaseRepresentation
bin100111001001001…
…0011101010110000
310101112102202021021
41032102103222300
510142214001000
6334155105224
744355621442
oct11622235260
93345382237
101313422000
11614435430
12307a42214
1317c1572a7
14c6616492
157a49211a
hex4e493ab0

1313422000 has 160 divisors (see below), whose sum is σ = 3493062144. Its totient is φ = 473696000.

The previous prime is 1313421997. The next prime is 1313422013. The reversal of 1313422000 is 2243131.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4993869 + ... + 4994131.

Almost surely, 21313422000 is an apocalyptic number.

1313422000 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 1313422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746531072).

1313422000 is an abundant number, since it is smaller than the sum of its proper divisors (2179640144).

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

1313422000 is a wasteful number, since it uses less digits than its factorization.

1313422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

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

The square root of 1313422000 is about 36241.1644404536. The cubic root of 1313422000 is about 1095.1361006229.

Adding to 1313422000 its reverse (2243131), we get a palindrome (1315665131).

The spelling of 1313422000 in words is "one billion, three hundred thirteen million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 227 250 263 275 400 440 454 500 526 550 880 908 1000 1052 1100 1135 1315 1375 1816 2000 2104 2200 2270 2497 2630 2750 2893 3632 4208 4400 4540 4994 5260 5500 5675 5786 6575 9080 9988 10520 11000 11350 11572 12485 13150 14465 18160 19976 21040 22000 22700 23144 24970 26300 28375 28930 32875 39952 45400 46288 49940 52600 56750 57860 59701 62425 65750 72325 90800 99880 105200 113500 115720 119402 124850 131500 144650 199760 227000 231440 238804 249700 263000 289300 298505 312125 361625 454000 477608 499400 526000 578600 597010 624250 656711 723250 955216 998800 1157200 1194020 1248500 1313422 1446500 1492525 2388040 2497000 2626844 2893000 2985050 3283555 4776080 4994000 5253688 5786000 5970100 6567110 7462625 10507376 11940200 13134220 14925250 16417775 23880400 26268440 29850500 32835550 52536880 59701000 65671100 82088875 119402000 131342200 164177750 262684400 328355500 656711000 1313422000