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120103310200 = 235217181195163
BaseRepresentation
bin110111111011010110…
…1110001001101111000
3102111000012120022110011
41233312231301031320
53431432421411300
6131101422431304
711451162202216
oct1576655611570
9374005508404
10120103310200
1146a32207655
121b33a432534
13b430719773
145b54d59cb6
1531ce0b0eba
hex1bf6b71378

120103310200 has 96 divisors (see below), whose sum is σ = 297301127760. Its totient is φ = 44965324800.

The previous prime is 120103310177. The next prime is 120103310231. The reversal of 120103310200 is 2013301021.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 517819 + ... + 712981.

Almost surely, 2120103310200 is an apocalyptic number.

120103310200 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 120103310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148650563880).

120103310200 is an abundant number, since it is smaller than the sum of its proper divisors (177197817560).

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

120103310200 is a wasteful number, since it uses less digits than its factorization.

120103310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195377 (or 195368 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 120103310200 its reverse (2013301021), we get a palindrome (122116611221).

The spelling of 120103310200 in words is "one hundred twenty billion, one hundred three million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 181 200 340 362 425 680 724 850 905 1448 1700 1810 3077 3400 3620 4525 6154 7240 9050 12308 15385 18100 24616 30770 36200 61540 76925 123080 153850 195163 307700 390326 615400 780652 975815 1561304 1951630 3317771 3903260 4879075 6635542 7806520 9758150 13271084 16588855 19516300 26542168 33177710 35324503 39032600 66355420 70649006 82944275 132710840 141298012 165888550 176622515 282596024 331777100 353245030 600516551 663554200 706490060 883112575 1201033102 1412980120 1766225150 2402066204 3002582755 3532450300 4804132408 6005165510 7064900600 12010331020 15012913775 24020662040 30025827550 60051655100 120103310200