Search a number
-
+
104300402314420 = 225135370110797389
BaseRepresentation
bin10111101101110001010100…
…011011100000110010110100
3111200022000120100221221121001
4113231301110123200302310
5102132324210443030140
61005454535432533044
730653312125532254
oct2755612433406264
9450260510857531
10104300402314420
11302626090008a4
12b846149851184
134627641212140
141ba824889b964
15c0d15d407e9a
hex5edc546e0cb4

104300402314420 has 96 divisors (see below), whose sum is σ = 240672786550560. Its totient is φ = 37730392627200.

The previous prime is 104300402314403. The next prime is 104300402314429. The reversal of 104300402314420 is 24413204003401.

It can be written as a sum of positive squares in 16 ways, for example, as 46564628573584 + 57735773740836 = 6823828^2 + 7598406^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104300402314429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4261086 + ... + 15058474.

It is an arithmetic number, because the mean of its divisors is an integer number (2507008193235).

Almost surely, 2104300402314420 is an apocalyptic number.

104300402314420 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 104300402314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120336393275280).

104300402314420 is an abundant number, since it is smaller than the sum of its proper divisors (136372384236140).

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

104300402314420 is a wasteful number, since it uses less digits than its factorization.

104300402314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798165 (or 10798163 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 104300402314420 its reverse (24413204003401), we get a palindrome (128713606317821).

The spelling of 104300402314420 in words is "one hundred four trillion, three hundred billion, four hundred two million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 701 1060 1378 1402 2756 2804 3445 3505 6890 7010 9113 13780 14020 18226 36452 37153 45565 74306 91130 148612 182260 185765 371530 482989 743060 965978 1931956 2414945 4829890 9659780 10797389 21594778 43189556 53986945 107973890 140366057 215947780 280732114 561464228 572261617 701830285 1144523234 1403660570 2289046468 2807321140 2861308085 5722616170 7439401021 7568969689 11445232340 14878802042 15137939378 29757604084 30275878756 37197005105 37844848445 74394010210 75689696890 98396605957 148788020420 151379393780 196793211914 393586423828 401155393517 491983029785 802310787034 983966059570 1604621574068 1967932119140 2005776967585 4011553935170 5215020115721 8023107870340 10430040231442 20860080462884 26075100578605 52150201157210 104300402314420