Search a number
-
+
120101240100 = 223521921070393
BaseRepresentation
bin110111111011010010…
…1110111110100100100
3102111000001200010210210
41233312211313310210
53431431404140400
6131101310215420
711451135461022
oct1576645676444
9374001603723
10120101240100
1146a31023326
121b3397b4570
13b43017345a
145b5497b712
1531cdd02950
hex1bf6977d24

120101240100 has 72 divisors (see below), whose sum is σ = 365782039840. Its totient is φ = 30341364480.

The previous prime is 120101240087. The next prime is 120101240137. The reversal of 120101240100 is 1042101021.

It is a happy number.

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10529497 + ... + 10540896.

Almost surely, 2120101240100 is an apocalyptic number.

120101240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101240100 is an abundant number, since it is smaller than the sum of its proper divisors (245680799740).

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

120101240100 is a wasteful number, since it uses less digits than its factorization.

120101240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21070429 (or 21070422 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120101240100 its reverse (1042101021), we get a palindrome (121143341121).

The spelling of 120101240100 in words is "one hundred twenty billion, one hundred one million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 21070393 42140786 63211179 84281572 105351965 126422358 210703930 252844716 316055895 400337467 421407860 526759825 632111790 800674934 1053519650 1201012401 1264223580 1580279475 1601349868 2001687335 2107039300 2402024802 3160558950 4003374670 4804049604 6005062005 6321117900 8006749340 10008436675 12010124010 20016873350 24020248020 30025310025 40033746700 60050620050 120101240100