Search a number
-
+
103101320320 = 275198478727
BaseRepresentation
bin110000000000101010…
…0010100110010000000
3100212010022022201221021
41200001110110302000
53142122414222240
6115210351035224
710306642522465
oct1400124246200
9325108281837
10103101320320
113a7a8009a49
1217b9450bb14
1399511aa71b
144dc0cbd66c
152a3664454a
hex1801514c80

103101320320 has 64 divisors (see below), whose sum is σ = 259449076800. Its totient is φ = 39069969408.

The previous prime is 103101320293. The next prime is 103101320353. The reversal of 103101320320 is 23023101301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103101320294 and 103101320303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4227204 + ... + 4251523.

It is an arithmetic number, because the mean of its divisors is an integer number (4053891825).

Almost surely, 2103101320320 is an apocalyptic number.

103101320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103101320320 is an abundant number, since it is smaller than the sum of its proper divisors (156347756480).

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

103101320320 is an equidigital number, since it uses as much as digits as its factorization.

103101320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8478765 (or 8478753 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103101320320 its reverse (23023101301), we get a palindrome (126124421621).

The spelling of 103101320320 in words is "one hundred three billion, one hundred one million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 8478727 16957454 33914908 42393635 67829816 84787270 135659632 161095813 169574540 271319264 322191626 339149080 542638528 644383252 678298160 805479065 1085277056 1288766504 1356596320 1610958130 2577533008 2713192640 3221916260 5155066016 5426385280 6443832520 10310132032 12887665040 20620264064 25775330080 51550660160 103101320320