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103420321320 = 233523318232029
BaseRepresentation
bin110000001010001010…
…1001101111000101000
3100212221112120200001010
41200110111031320220
53143301100240240
6115302144223520
710320565140531
oct1402425157050
9325845520033
10103420321320
113a951091138
121806330aba0
1399a22cc004
1450113db688
152a54658280
hex181454de28

103420321320 has 128 divisors (see below), whose sum is σ = 311917132800. Its totient is φ = 27431798784.

The previous prime is 103420321297. The next prime is 103420321327. The reversal of 103420321320 is 23123024301.

It is not an unprimeable number, because it can be changed into a prime (103420321327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50970066 + ... + 50972094.

It is an arithmetic number, because the mean of its divisors is an integer number (2436852600).

Almost surely, 2103420321320 is an apocalyptic number.

103420321320 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 103420321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155958566400).

103420321320 is an abundant number, since it is smaller than the sum of its proper divisors (208496811480).

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

103420321320 is a wasteful number, since it uses less digits than its factorization.

103420321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103420321320 its reverse (23123024301), we get a palindrome (126543345621).

The spelling of 103420321320 in words is "one hundred three billion, four hundred twenty million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1398 1823 1864 2029 2330 2796 3495 3646 4058 4660 5469 5592 6087 6990 7292 8116 9115 9320 10145 10938 12174 13980 14584 16232 18230 20290 21876 24348 27345 27960 30435 36460 40580 43752 48696 54690 60870 72920 81160 109380 121740 218760 243480 424759 472757 849518 945514 1274277 1418271 1699036 1891028 2123795 2363785 2548554 2836542 3398072 3698867 3782056 4247590 4727570 5097108 5673084 6371385 7091355 7397734 8495180 9455140 10194216 11096601 11346168 12742770 14182710 14795468 16990360 18494335 18910280 22193202 25485540 28365420 29590936 36988670 44386404 50971080 55483005 56730840 73977340 88772808 110966010 147954680 221932020 443864040 861836011 1723672022 2585508033 3447344044 4309180055 5171016066 6894688088 8618360110 10342032132 12927540165 17236720220 20684064264 25855080330 34473440440 51710160660 103420321320