Search a number
-
+
120110100 = 2235211172141
BaseRepresentation
bin1110010100010…
…11110000010100
322101000020002020
413022023300110
5221222010400
615530213140
72655630135
oct712136024
9271006066
10120110100
1161887550
12342841b0
131bb65086
1411d47c8c
15a8282a0
hex728bc14

120110100 has 144 divisors (see below), whose sum is σ = 401599296. Its totient is φ = 27392000.

The previous prime is 120110093. The next prime is 120110143. The reversal of 120110100 is 1011021.

It is a super-2 number, since 2×1201101002 = 28852872244020000, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55030 + ... + 57170.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2120110100 is an apocalyptic number.

120110100 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 120110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200799648).

120110100 is an abundant number, since it is smaller than the sum of its proper divisors (281489196).

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

120110100 is a wasteful number, since it uses less digits than its factorization.

120110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2179 counting only the distinct ones).

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

The square root of 120110100 is about 10959.4753524062. The cubic root of 120110100 is about 493.3932187265.

Adding to 120110100 its reverse (1011021), we get a palindrome (121121121).

The spelling of 120110100 in words is "one hundred twenty million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2141 2244 2550 2805 3300 3740 4282 4675 5100 5610 6423 8564 9350 10705 11220 12846 14025 18700 21410 23551 25692 28050 32115 36397 42820 47102 53525 56100 64230 70653 72794 94204 107050 109191 117755 128460 141306 145588 160575 181985 214100 218382 235510 282612 321150 353265 363970 400367 436764 471020 545955 588775 642300 706530 727940 800734 909925 1091910 1177550 1201101 1413060 1601468 1766325 1819850 2001835 2183820 2355100 2402202 2729775 3532650 3639700 4003670 4804404 5459550 6005505 7065300 8007340 10009175 10919100 12011010 20018350 24022020 30027525 40036700 60055050 120110100