Search a number
-
+
103040311100 = 225210131732183
BaseRepresentation
bin101111111110110101…
…1100101111100111100
3100211222001112011000112
41133331223211330330
53142011304423400
6115200331245152
710305302123156
oct1377553457474
9324861464015
10103040311100
113a776629901
1217b77ba97b8
1399416692ac
144db6b5bad6
152a310e2835
hex17fdae5f3c

103040311100 has 72 divisors (see below), whose sum is σ = 226530688608. Its totient is φ = 40678048000.

The previous prime is 103040311091. The next prime is 103040311163. The reversal of 103040311100 is 1113040301.

It is a congruent number.

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, 3185609 + ... + 3217791.

It is an arithmetic number, because the mean of its divisors is an integer number (3146259564).

Almost surely, 2103040311100 is an apocalyptic number.

103040311100 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 103040311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113265344304).

103040311100 is an abundant number, since it is smaller than the sum of its proper divisors (123490377508).

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

103040311100 is a wasteful number, since it uses less digits than its factorization.

103040311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32615 (or 32608 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103040311100 its reverse (1113040301), we get a palindrome (104153351401).

The spelling of 103040311100 in words is "one hundred three billion, forty million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 317 404 505 634 1010 1268 1585 2020 2525 3170 5050 6340 7925 10100 15850 31700 32017 32183 64034 64366 128068 128732 160085 160915 320170 321830 640340 643660 800425 804575 1600850 1609150 3201700 3218300 3250483 6500966 10202011 13001932 16252415 20404022 32504830 40808044 51010055 65009660 81262075 102020110 162524150 204040220 255050275 325048300 510100550 1020201100 1030403111 2060806222 4121612444 5152015555 10304031110 20608062220 25760077775 51520155550 103040311100