Search a number
-
+
120101100 = 22352757191
BaseRepresentation
bin1110010100010…
…01100011101100
322100222202201220
413022021203230
5221221213400
615530103340
72655561660
oct712114354
9270882656
10120101100
1161880809
123427ab50
131bb60c52
1411d448a0
15a8257a0
hex72898ec

120101100 has 72 divisors (see below), whose sum is σ = 397141248. Its totient is φ = 27451200.

The previous prime is 120101089. The next prime is 120101119. The reversal of 120101100 is 1101021.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26496 + ... + 30695.

Almost surely, 2120101100 is an apocalyptic number.

120101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101100 is an abundant number, since it is smaller than the sum of its proper divisors (277040148).

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

120101100 is a wasteful number, since it uses less digits than its factorization.

120101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57215 (or 57208 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 120101100 is about 10959.0647411173. The cubic root of 120101100 is about 493.3808948951.

Adding to 120101100 its reverse (1101021), we get a palindrome (121202121).

The spelling of 120101100 in words is "one hundred twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 57191 114382 171573 228764 285955 343146 400337 571910 686292 800674 857865 1143820 1201011 1429775 1601348 1715730 2001685 2402022 2859550 3431460 4003370 4289325 4804044 5719100 6005055 8006740 8578650 10008425 12010110 17157300 20016850 24020220 30025275 40033700 60050550 120101100