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103213055140 = 225131921099649
BaseRepresentation
bin110000000011111111…
…0100011110010100100
3100212102002120110021221
41200013332203302210
53142340020231030
6115225421550124
710312500331126
oct1400776436244
9325362513257
10103213055140
113a855095a78
1218005a15344
13996b39c5c0
144dd1a87216
152a41365e7a
hex1807fa3ca4

103213055140 has 72 divisors (see below), whose sum is σ = 246352390200. Its totient is φ = 36103643136.

The previous prime is 103213055131. The next prime is 103213055171. The reversal of 103213055140 is 41550312301.

It is a happy number.

103213055140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7039881216 + 96173173924 = 83904^2 + 310118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455965 + ... + 643684.

It is an arithmetic number, because the mean of its divisors is an integer number (3421560975).

Almost surely, 2103213055140 is an apocalyptic number.

103213055140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103213055140 is an abundant number, since it is smaller than the sum of its proper divisors (143139335060).

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

103213055140 is a wasteful number, since it uses less digits than its factorization.

103213055140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099709 (or 1099688 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 103213055140 its reverse (41550312301), we get a palindrome (144763367441).

The spelling of 103213055140 in words is "one hundred three billion, two hundred thirteen million, fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1444 1805 2470 3610 4693 4940 7220 9386 18772 23465 46930 93860 1099649 2199298 4398596 5498245 10996490 14295437 20893331 21992980 28590874 41786662 57181748 71477185 83573324 104466655 142954370 208933310 271613303 285908740 396973289 417866620 543226606 793946578 1086453212 1358066515 1587893156 1984866445 2716133030 3969732890 5160652757 5432266060 7939465780 10321305514 20642611028 25803263785 51606527570 103213055140