Search a number
-
+
131102100404040 = 2335372798040543
BaseRepresentation
bin11101110011110010010110…
…000111111011011101001000
3122012012020102210100122011210
4131303302112013323131020
5114140434100200412130
61142455250134253120
736420546156445113
oct3563622607733510
9565166383318153
10131102100404040
11388560a7942927
12128545701b71a0
13581cb4b56018c
1424535385b957a
1510253ee6415b0
hex773c961fb748

131102100404040 has 96 divisors (see below), whose sum is σ = 404223496346880. Its totient is φ = 34015680062208.

The previous prime is 131102100404027. The next prime is 131102100404047. The reversal of 131102100404040 is 40404001201131.

131102100404040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131102100403998 and 131102100404016.

It is not an unprimeable number, because it can be changed into a prime (131102100404047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398855992 + ... + 399184551.

It is an arithmetic number, because the mean of its divisors is an integer number (4210661420280).

Almost surely, 2131102100404040 is an apocalyptic number.

131102100404040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131102100404040 is an abundant number, since it is smaller than the sum of its proper divisors (273121395942840).

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

131102100404040 is a wasteful number, since it uses less digits than its factorization.

131102100404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798040631 (or 798040590 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 131102100404040 its reverse (40404001201131), we get a palindrome (171506101605171).

The spelling of 131102100404040 in words is "one hundred thirty-one trillion, one hundred two billion, one hundred million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1369 1480 2220 2738 4107 4440 5476 6845 8214 10952 13690 16428 20535 27380 32856 41070 54760 82140 164280 798040543 1596081086 2394121629 3192162172 3990202715 4788243258 6384324344 7980405430 9576486516 11970608145 15960810860 19152973032 23941216290 29527500091 31921621720 47882432580 59055000182 88582500273 95764865160 118110000364 147637500455 177165000546 236220000728 295275000910 354330001092 442912501365 590550001820 708660002184 885825002730 1092517503367 1181100003640 1771650005460 2185035006734 3277552510101 3543300010920 4370070013468 5462587516835 6555105020202 8740140026936 10925175033670 13110210040404 16387762550505 21850350067340 26220420080808 32775525101010 43700700134680 65551050202020 131102100404040