Search a number
-
+
120110101100 = 2252111027110631
BaseRepresentation
bin110111111011100011…
…1101011001001101100
3102111000200100022210222
41233313013223021230
53431441141213400
6131102224150512
711451304004603
oct1576707531154
9374020308728
10120110101100
1146a36025770
121b340768438
13b431c56752
145b55c06a3a
1531ce9a3185
hex1bf71eb26c

120110101100 has 72 divisors (see below), whose sum is σ = 284387798016. Its totient is φ = 43668040000.

The previous prime is 120110101099. The next prime is 120110101109. The reversal of 120110101100 is 1101011021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120110101109) by changing a digit.

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, 11292785 + ... + 11303415.

It is an arithmetic number, because the mean of its divisors is an integer number (3949830528).

Almost surely, 2120110101100 is an apocalyptic number.

120110101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120110101100 is an abundant number, since it is smaller than the sum of its proper divisors (164277696916).

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

120110101100 is a wasteful number, since it uses less digits than its factorization.

120110101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20927 (or 20920 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 120110101100 its reverse (1101011021), we get a palindrome (121211112121).

The spelling of 120110101100 in words is "one hundred twenty billion, one hundred ten million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 10271 10631 20542 21262 41084 42524 51355 53155 102710 106310 112981 116941 205420 212620 225962 233882 256775 265775 451924 467764 513550 531550 564905 584705 1027100 1063100 1129810 1169410 2259620 2338820 2824525 2923525 5649050 5847050 11298100 11694100 109191001 218382002 436764004 545955005 1091910010 1201101011 2183820020 2402202022 2729775025 4804404044 5459550050 6005505055 10919100100 12011010110 24022020220 30027525275 60055050550 120110101100