Search a number
-
+
103100140 = 225111324759
BaseRepresentation
bin1100010010100…
…10111011101100
321012000000210201
412021102323230
5202343201030
614121443244
72361223333
oct611227354
9235000721
10103100140
1153219730
122a640524
131848a900
14d99ad1a
1590b82ca
hex6252eec

103100140 has 144 divisors (see below), whose sum is σ = 265628160. Its totient is φ = 33296640.

The previous prime is 103100131. The next prime is 103100161. The reversal of 103100140 is 41001301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1747431 + ... + 1747489.

It is an arithmetic number, because the mean of its divisors is an integer number (1844640).

Almost surely, 2103100140 is an apocalyptic number.

103100140 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 103100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132814080).

103100140 is an abundant number, since it is smaller than the sum of its proper divisors (162528020).

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

103100140 is a wasteful number, since it uses less digits than its factorization.

103100140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 103100140 is about 10153.8239102320. The cubic root of 103100140 is about 468.9066785285.

Adding to 103100140 its reverse (41001301), we get a palindrome (144101441).

The spelling of 103100140 in words is "one hundred three million, one hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 47 52 55 59 65 94 110 118 130 143 169 188 220 235 236 260 286 295 338 470 517 572 590 611 649 676 715 767 845 940 1034 1180 1222 1298 1430 1534 1690 1859 2068 2444 2585 2596 2773 2860 3055 3068 3245 3380 3718 3835 5170 5546 6110 6490 6721 7436 7670 7943 8437 9295 9971 10340 11092 12220 12980 13442 13865 15340 15886 16874 18590 19942 26884 27730 30503 31772 33605 33748 36049 37180 39715 39884 42185 49855 55460 61006 67210 72098 79430 84370 87373 99710 109681 122012 134420 144196 152515 158860 168740 174746 180245 199420 219362 305030 349492 360490 396539 436865 438724 468637 548405 610060 720980 793078 873730 937274 1096810 1586156 1747460 1874548 1982695 2193620 2343185 3965390 4686370 5155007 7930780 9372740 10310014 20620028 25775035 51550070 103100140