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130222230320 = 24571371251939
BaseRepresentation
bin111100101000111011…
…0011000101100110000
3110110010102002201022102
41321101312120230300
54113143342332240
6135453454155532
712260012460110
oct1712166305460
9413112081272
10130222230320
1150255066056
12212a31b2ba8
13c383c43470
146434bd7040
1535c260e815
hex1e51d98b30

130222230320 has 160 divisors (see below), whose sum is σ = 377885813760. Its totient is φ = 40632560640.

The previous prime is 130222230301. The next prime is 130222230367. The reversal of 130222230320 is 23032222031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130222230292 and 130222230301.

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, 390911 + ... + 642849.

It is an arithmetic number, because the mean of its divisors is an integer number (2361786336).

Almost surely, 2130222230320 is an apocalyptic number.

130222230320 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 130222230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188942906880).

130222230320 is an abundant number, since it is smaller than the sum of its proper divisors (247663583440).

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

130222230320 is a wasteful number, since it uses less digits than its factorization.

130222230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252043 (or 252037 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 130222230320 its reverse (23032222031), we get a palindrome (153254452351).

The spelling of 130222230320 in words is "one hundred thirty billion, two hundred twenty-two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 71 80 91 104 112 130 140 142 182 208 260 280 284 355 364 455 497 520 560 568 710 728 910 923 994 1040 1136 1420 1456 1820 1846 1988 2485 2840 3640 3692 3976 4615 4970 5680 6461 7280 7384 7952 9230 9940 12922 14768 18460 19880 25844 32305 36920 39760 51688 64610 73840 103376 129220 251939 258440 503878 516880 1007756 1259695 1763573 2015512 2519390 3275207 3527146 4031024 5038780 6550414 7054292 8817865 10077560 13100828 14108584 16376035 17635730 17887669 20155120 22926449 26201656 28217168 32752070 35271460 35775338 45852898 52403312 65504140 70542920 71550676 89438345 91705796 114632245 125213683 131008280 141085840 143101352 178876690 183411592 229264490 232539697 250427366 262016560 286202704 357753380 366823184 458528980 465079394 500854732 626068415 715506760 917057960 930158788 1001709464 1162698485 1252136830 1431013520 1627777879 1834115920 1860317576 2003418928 2325396970 2504273660 3255555758 3720635152 4650793940 5008547320 6511111516 8138889395 9301587880 10017094640 13022223032 16277778790 18603175760 26044446064 32555557580 65111115160 130222230320