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103020321000 = 2335337928111
BaseRepresentation
bin101111111110001111…
…1010101100011101000
3100211220122220112202110
41133330133111203220
53141441200233000
6115154335002320
710304640165042
oct1377437254350
9324818815673
10103020321000
113a766315a63
1217b713693a0
13993a48a52c
144db4236a92
152a2e494850
hex17fc7d58e8

103020321000 has 128 divisors (see below), whose sum is σ = 330110876160. Its totient is φ = 26729568000.

The previous prime is 103020320959. The next prime is 103020321013. The reversal of 103020321000 is 123020301.

It is a happy number.

It is a super-2 number, since 2×1030203210002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353056 + ... + 575055.

It is an arithmetic number, because the mean of its divisors is an integer number (2578991220).

Almost surely, 2103020321000 is an apocalyptic number.

103020321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103020321000 is an abundant number, since it is smaller than the sum of its proper divisors (227090555160).

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

103020321000 is a wasteful number, since it uses less digits than its factorization.

103020321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928172 (or 928158 counting only the distinct ones).

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

Adding to 103020321000 its reverse (123020301), we get a palindrome (103143341301).

The spelling of 103020321000 in words is "one hundred three billion, twenty million, three hundred twenty-one 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 928111 1856222 2784333 3712444 4640555 5568666 7424888 9281110 11137332 13921665 18562220 22274664 23202775 27843330 34340107 37124440 46405550 55686660 68680214 69608325 92811100 103020321 111373320 116013875 137360428 139216650 171700535 185622200 206040642 232027750 274720856 278433300 343401070 348041625 412081284 464055500 515101605 556866600 686802140 696083250 824162568 858502675 928111000 1030203210 1373604280 1392166500 1717005350 2060406420 2575508025 2784333000 3434010700 4120812840 4292513375 5151016050 6868021400 8585026750 10302032100 12877540125 17170053500 20604064200 25755080250 34340107000 51510160500 103020321000