Search a number
-
+
130000122103200 = 25352371463965339
BaseRepresentation
bin11101100011110000000011…
…000110010100010110100000
3122001021220001000202202212120
4131203300003012110112200
5114014410222224300300
61140253122011024240
736245125133442456
oct3543600306242640
9561256030682776
10130000122103200
1138470818916168
12126b6a89a3b080
13576cc609674bb
14241607a4a49d6
1510069051673a0
hex763c031945a0

130000122103200 has 144 divisors (see below), whose sum is σ = 434586894971040. Its totient is φ = 33729761387520.

The previous prime is 130000122103121. The next prime is 130000122103259. The reversal of 130000122103200 is 2301221000031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130000122103200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731893870 + ... + 732071469.

It is an arithmetic number, because the mean of its divisors is an integer number (3017964548410).

Almost surely, 2130000122103200 is an apocalyptic number.

130000122103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130000122103200 is an abundant number, since it is smaller than the sum of its proper divisors (304586772867840).

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

130000122103200 is a wasteful number, since it uses less digits than its factorization.

130000122103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463965399 (or 1463965386 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130000122103200 its reverse (2301221000031), we get a palindrome (132301343103231).

The spelling of 130000122103200 in words is "one hundred thirty trillion, one hundred twenty-two million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 74 75 80 96 100 111 120 148 150 160 185 200 222 240 296 300 370 400 444 480 555 592 600 740 800 888 925 1110 1184 1200 1480 1776 1850 2220 2400 2775 2960 3552 3700 4440 5550 5920 7400 8880 11100 14800 17760 22200 29600 44400 88800 1463965339 2927930678 4391896017 5855861356 7319826695 8783792034 11711722712 14639653390 17567584068 21959480085 23423445424 29279306780 35135168136 36599133475 43918960170 46846890848 54166717543 58558613560 70270336272 73198266950 87837920340 108333435086 109797400425 117117227120 140540672544 146396533900 162500152629 175675840680 216666870172 219594800850 234234454240 270833587715 292793067800 325000305258 351351681360 433333740344 439189601700 541667175430 585586135600 650000610516 702703362720 812500763145 866667480688 878379203400 1083334350860 1171172271200 1300001221032 1354167938575 1625001526290 1733334961376 1756758406800 2166668701720 2600002442064 2708335877150 3250003052580 3513516813600 4062503815725 4333337403440 5200004884128 5416671754300 6500006105160 8125007631450 8666674806880 10833343508600 13000012210320 16250015262900 21666687017200 26000024420640 32500030525800 43333374034400 65000061051600 130000122103200