Search a number
-
+
131132343320 = 235111979198553
BaseRepresentation
bin111101000100000011…
…0001100010000011000
3110112110211122020122022
41322020012030100120
54122024334441240
6140124045114012
712321403345556
oct1721006142030
9415424566568
10131132343320
1150681875460
12214b7b58908
13c49a66ac74
1464bda26bd6
1536274879b5
hex1e8818c418

131132343320 has 128 divisors (see below), whose sum is σ = 343101312000. Its totient is φ = 44602721280.

The previous prime is 131132343311. The next prime is 131132343389. The reversal of 131132343320 is 23343231131.

It is a self number, because there is not a number n which added to its sum of digits gives 131132343320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561164 + ... + 759716.

It is an arithmetic number, because the mean of its divisors is an integer number (2680479000).

Almost surely, 2131132343320 is an apocalyptic number.

131132343320 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 131132343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171550656000).

131132343320 is an abundant number, since it is smaller than the sum of its proper divisors (211968968680).

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

131132343320 is a wasteful number, since it uses less digits than its factorization.

131132343320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198673 (or 198669 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 131132343320 its reverse (23343231131), we get a palindrome (154475574451).

The spelling of 131132343320 in words is "one hundred thirty-one billion, one hundred thirty-two million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 79 88 95 110 152 158 190 209 220 316 380 395 418 440 632 760 790 836 869 1045 1501 1580 1672 1738 2090 3002 3160 3476 4180 4345 6004 6952 7505 8360 8690 12008 15010 16511 17380 30020 33022 34760 60040 66044 82555 132088 165110 198553 330220 397106 660440 794212 992765 1588424 1985530 2184083 3772507 3971060 4368166 7545014 7942120 8736332 10920415 15090028 15685687 17472664 18862535 21840830 30180056 31371374 37725070 41497577 43681660 62742748 75450140 78428435 82995154 87363320 125485496 150900280 156856870 165990308 172542557 207487885 298028053 313713740 331980616 345085114 414975770 596056106 627427480 690170228 829951540 862712785 1192112212 1380340456 1490140265 1659903080 1725425570 2384224424 2980280530 3278308583 3450851140 5960561060 6556617166 6901702280 11921122120 13113234332 16391542915 26226468664 32783085830 65566171660 131132343320