Search a number
-
+
321020103000 = 23353372892073
BaseRepresentation
bin1001010101111100100…
…10100000100101011000
31010200121102221220020110
410222332102200211120
520224422121244000
6403250302524320
732123114565432
oct4527622404530
91120542856213
10321020103000
1111416452a853
1252270b966a0
132436c96198c
1411774ac9652
15853cc7c850
hex4abe4a0958

321020103000 has 128 divisors (see below), whose sum is σ = 1028652880320. Its totient is φ = 83291673600.

The previous prime is 321020102981. The next prime is 321020103017. The reversal of 321020103000 is 301020123.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335037 + ... + 1557036.

Almost surely, 2321020103000 is an apocalyptic number.

321020103000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321020103000 is an abundant number, since it is smaller than the sum of its proper divisors (707632777320).

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

321020103000 is a wasteful number, since it uses less digits than its factorization.

321020103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892134 (or 2892120 counting only the distinct ones).

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

Adding to 321020103000 its reverse (301020123), we get a palindrome (321321123123).

The spelling of 321020103000 in words is "three hundred twenty-one billion, twenty million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 125 148 150 185 200 222 250 296 300 370 375 444 500 555 600 740 750 888 925 1000 1110 1480 1500 1850 2220 2775 3000 3700 4440 4625 5550 7400 9250 11100 13875 18500 22200 27750 37000 55500 111000 2892073 5784146 8676219 11568292 14460365 17352438 23136584 28920730 34704876 43381095 57841460 69409752 72301825 86762190 107006701 115682920 144603650 173524380 214013402 216905475 289207300 321020103 347048760 361509125 428026804 433810950 535033505 578414600 642040206 723018250 856053608 867621900 1070067010 1084527375 1284080412 1446036500 1605100515 1735243800 2140134020 2169054750 2568160824 2675167525 2892073000 3210201030 4280268040 4338109500 5350335050 6420402060 8025502575 8676219000 10700670100 12840804120 13375837625 16051005150 21401340200 26751675250 32102010300 40127512875 53503350500 64204020600 80255025750 107006701000 160510051500 321020103000