Search a number
-
+
103340001000 = 2335337930991
BaseRepresentation
bin110000000111110001…
…0110100011011101000
3100212201221102222021110
41200033202310123220
53143120020013000
6115250154510320
710315601341515
oct1401742643350
9325657388243
10103340001000
113a90a811305
12180404353a0
13998b788bb2
14500489030c
152a4c58e850
hex180f8b46e8

103340001000 has 128 divisors (see below), whose sum is σ = 331135234560. Its totient is φ = 26812512000.

The previous prime is 103340000977. The next prime is 103340001031. The reversal of 103340001000 is 100043301.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354496 + ... + 576495.

It is an arithmetic number, because the mean of its divisors is an integer number (2586994020).

Almost surely, 2103340001000 is an apocalyptic number.

103340001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103340001000 is an abundant number, since it is smaller than the sum of its proper divisors (227795233560).

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

103340001000 is a wasteful number, since it uses less digits than its factorization.

103340001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931052 (or 931038 counting only the distinct ones).

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

Adding to 103340001000 its reverse (100043301), we get a palindrome (103440044301).

The spelling of 103340001000 in words is "one hundred three billion, three hundred forty million, 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 930991 1861982 2792973 3723964 4654955 5585946 7447928 9309910 11171892 13964865 18619820 22343784 23274775 27929730 34446667 37239640 46549550 55859460 68893334 69824325 93099100 103340001 111718920 116373875 137786668 139648650 172233335 186198200 206680002 232747750 275573336 279297300 344466670 349121625 413360004 465495500 516700005 558594600 688933340 698243250 826720008 861166675 930991000 1033400010 1377866680 1396486500 1722333350 2066800020 2583500025 2792973000 3444666700 4133600040 4305833375 5167000050 6889333400 8611666750 10334000100 12917500125 17223333500 20668000200 25835000250 34446667000 51670000500 103340001000