Search a number
-
+
1020422130 = 2357132912889
BaseRepresentation
bin111100110100100…
…110011111110010
32122010002211000020
4330310212133302
54042212002010
6245131104310
734200305430
oct7464463762
92563084006
101020422130
11484002282
122458a2096
1313353a7a0
1499745d50
155e8b7470
hex3cd267f2

1020422130 has 128 divisors (see below), whose sum is σ = 3118348800. Its totient is φ = 207857664.

The previous prime is 1020422111. The next prime is 1020422131. The reversal of 1020422130 is 312240201.

It is a super-2 number, since 2×10204221302 = 2082522646787473800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1020422131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72726 + ... + 85614.

It is an arithmetic number, because the mean of its divisors is an integer number (24362100).

Almost surely, 21020422130 is an apocalyptic number.

1020422130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020422130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559174400).

1020422130 is an abundant number, since it is smaller than the sum of its proper divisors (2097926670).

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

1020422130 is a wasteful number, since it uses less digits than its factorization.

1020422130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12948.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1020422130 is about 31944.0468632263. The cubic root of 1020422130 is about 1006.7615549977.

Adding to 1020422130 its reverse (312240201), we get a palindrome (1332662331).

The spelling of 1020422130 in words is "one billion, twenty million, four hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 29 30 35 39 42 58 65 70 78 87 91 105 130 145 174 182 195 203 210 273 290 377 390 406 435 455 546 609 754 870 910 1015 1131 1218 1365 1885 2030 2262 2639 2730 3045 3770 5278 5655 6090 7917 11310 12889 13195 15834 25778 26390 38667 39585 64445 77334 79170 90223 128890 167557 180446 193335 270669 335114 373781 386670 451115 502671 541338 747562 837785 902230 1005342 1121343 1172899 1353345 1675570 1868905 2242686 2345798 2513355 2616467 2706690 3518697 3737810 4859153 5026710 5232934 5606715 5864495 7037394 7849401 9718306 11213430 11728990 13082335 14577459 15698802 17593485 24295765 26164670 29154918 34014071 35186970 39247005 48591530 68028142 72887295 78494010 102042213 145774590 170070355 204084426 340140710 510211065 1020422130