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130310022000 = 2435360136137
BaseRepresentation
bin111100101011100010…
…1010010001101110000
3110110100112021222212010
41321113011102031300
54113333331201000
6135510312002520
712262126624404
oct1712705221560
9413315258763
10130310022000
115029a679264
1221308690440
13c3991a11c2
14644272b104
1535ca1a1d50
hex1e57152370

130310022000 has 160 divisors (see below), whose sum is σ = 420830190144. Its totient is φ = 34690560000.

The previous prime is 130310021999. The next prime is 130310022023. The reversal of 130310022000 is 220013031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 3587932 + ... + 3624068.

Almost surely, 2130310022000 is an apocalyptic number.

130310022000 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 130310022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210415095072).

130310022000 is an abundant number, since it is smaller than the sum of its proper divisors (290520168144).

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

130310022000 is a wasteful number, since it uses less digits than its factorization.

130310022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36764 (or 36748 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 130310022000 its reverse (220013031), we get a palindrome (130530035031).

The spelling of 130310022000 in words is "one hundred thirty billion, three hundred ten million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 601 750 1000 1200 1202 1500 1803 2000 2404 3000 3005 3606 4808 6000 6010 7212 9015 9616 12020 14424 15025 18030 24040 28848 30050 36060 36137 45075 48080 60100 72120 72274 75125 90150 108411 120200 144240 144548 150250 180300 180685 216822 225375 240400 289096 300500 360600 361370 433644 450750 542055 578192 601000 721200 722740 867288 901500 903425 1084110 1202000 1445480 1734576 1803000 1806850 2168220 2710275 2890960 3606000 3613700 4336440 4517125 5420550 7227400 8672880 9034250 10841100 13551375 14454800 18068500 21682200 21718337 27102750 36137000 43364400 43436674 54205500 65155011 72274000 86873348 108411000 108591685 130310022 173746696 216822000 217183370 260620044 325775055 347493392 434366740 521240088 542958425 651550110 868733480 1042480176 1085916850 1303100220 1628875275 1737466960 2171833700 2606200440 2714792125 3257750550 4343667400 5212400880 5429584250 6515501100 8144376375 8687334800 10859168500 13031002200 16288752750 21718337000 26062004400 32577505500 43436674000 65155011000 130310022000