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10340103000 = 233539735533
BaseRepresentation
bin10011010000101000…
…10111001101011000
3222200121201122201210
421220110113031120
5132134031244000
64430012143120
7514144265613
oct115024271530
928617648653
1010340103000
11442679a477
122006a67aa0
13c8a2b9956
147013b517a
15407b8e350
hex268517358

10340103000 has 128 divisors (see below), whose sum is σ = 32594627520. Its totient is φ = 2728857600.

The previous prime is 10340102989. The next prime is 10340103017. The reversal of 10340103000 is 30104301.

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, 273234 + ... + 308766.

Almost surely, 210340103000 is an apocalyptic number.

10340103000 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 10340103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16297313760).

10340103000 is an abundant number, since it is smaller than the sum of its proper divisors (22254524520).

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

10340103000 is a wasteful number, since it uses less digits than its factorization.

10340103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35654 (or 35640 counting only the distinct ones).

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

Adding to 10340103000 its reverse (30104301), we get a palindrome (10370207301).

The spelling of 10340103000 in words is "ten billion, three hundred forty million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 125 150 194 200 250 291 300 375 388 485 500 582 600 750 776 970 1000 1164 1455 1500 1940 2328 2425 2910 3000 3880 4850 5820 7275 9700 11640 12125 14550 19400 24250 29100 35533 36375 48500 58200 71066 72750 97000 106599 142132 145500 177665 213198 284264 291000 355330 426396 532995 710660 852792 888325 1065990 1421320 1776650 2131980 2664975 3446701 3553300 4263960 4441625 5329950 6893402 7106600 8883250 10340103 10659900 13324875 13786804 17233505 17766500 20680206 21319800 26649750 27573608 34467010 35533000 41360412 51700515 53299500 68934020 82720824 86167525 103401030 106599000 137868040 172335050 206802060 258502575 344670100 413604120 430837625 517005150 689340200 861675250 1034010300 1292512875 1723350500 2068020600 2585025750 3446701000 5170051500 10340103000