Search a number
-
+
103411424000 = 28535954773
BaseRepresentation
bin110000001001111001…
…1010001101100000000
3100212220220211122012202
41200103303101230000
53143241311032000
6115301225412332
710320426413033
oct1402363215400
9325826748182
10103411424000
113a947064485
121806033a0a8
1399a0505321
14501016301a
152a5399bdd5
hex1813cd1b00

103411424000 has 144 divisors (see below), whose sum is σ = 261981851040. Its totient is φ = 40662732800.

The previous prime is 103411423949. The next prime is 103411424009. The reversal of 103411424000 is 424114301.

It is a super-2 number, since 2×1034114240002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (103411424009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1860614 + ... + 1915386.

It is an arithmetic number, because the mean of its divisors is an integer number (1819318410).

Almost surely, 2103411424000 is an apocalyptic number.

103411424000 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 103411424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130990925520).

103411424000 is an abundant number, since it is smaller than the sum of its proper divisors (158570427040).

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

103411424000 is an frugal number, since it uses more digits than its factorization.

103411424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54863 (or 54839 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 103411424000 its reverse (424114301), we get a palindrome (103835538301).

It can be divided in two parts, 10341 and 1424000, that added together give a palindrome (1434341).

The spelling of 103411424000 in words is "one hundred three billion, four hundred eleven million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 128 160 200 236 250 256 295 320 400 472 500 590 640 800 944 1000 1180 1280 1475 1600 1888 2000 2360 2950 3200 3776 4000 4720 5900 6400 7375 7552 8000 9440 11800 14750 15104 16000 18880 23600 29500 32000 37760 47200 54773 59000 75520 94400 109546 118000 188800 219092 236000 273865 377600 438184 472000 547730 876368 944000 1095460 1369325 1752736 1888000 2190920 2738650 3231607 3505472 4381840 5477300 6463214 6846625 7010944 8763680 10954600 12926428 13693250 14021888 16158035 17527360 21909200 25852856 27386500 32316070 35054720 43818400 51705712 54773000 64632140 70109440 80790175 87636800 103411424 109546000 129264280 161580350 175273600 206822848 219092000 258528560 323160700 350547200 403950875 413645696 438184000 517057120 646321400 807901750 827291392 876368000 1034114240 1292642800 1615803500 1752736000 2068228480 2585285600 3231607000 4136456960 5170571200 6463214000 10341142400 12926428000 20682284800 25852856000 51705712000 103411424000