Search a number
-
+
131320204200420 = 223541911383458891
BaseRepresentation
bin11101110110111101011110…
…000111111000100111100100
3122012222002101211010110120020
4131312331132013320213210
5114203022234233403140
61143143400255435140
736442400036230434
oct3566753607704744
9565862354113506
10131320204200420
113892a649840214
121288a89a825ab0
1358375994523b1
14245dd08bc62c4
15102ae171236d0
hex776f5e1f89e4

131320204200420 has 96 divisors (see below), whose sum is σ = 368607311815680. Its totient is φ = 34931999034240.

The previous prime is 131320204200401. The next prime is 131320204200511. The reversal of 131320204200420 is 24002402023131.

It is a happy number.

131320204200420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1313202042004202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285939175 + ... + 286398065.

It is an arithmetic number, because the mean of its divisors is an integer number (3839659498080).

Almost surely, 2131320204200420 is an apocalyptic number.

131320204200420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131320204200420 is an abundant number, since it is smaller than the sum of its proper divisors (237287107615260).

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

131320204200420 is a wasteful number, since it uses less digits than its factorization.

131320204200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470705 (or 470703 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 131320204200420 its reverse (24002402023131), we get a palindrome (155322606223551).

The spelling of 131320204200420 in words is "one hundred thirty-one trillion, three hundred twenty billion, two hundred four million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 419 838 1257 1676 2095 2514 4190 5028 6285 8380 11383 12570 22766 25140 34149 45532 56915 68298 113830 136596 170745 227660 341490 458891 682980 917782 1376673 1835564 2294455 2753346 4588910 4769477 5506692 6883365 9177820 9538954 13766730 14308431 19077908 23847385 27533460 28616862 47694770 57233724 71542155 95389540 143084310 192275329 286168620 384550658 576825987 769101316 961376645 1153651974 1922753290 2307303948 2884129935 3845506580 5223556253 5768259870 10447112506 11536519740 15670668759 20894225012 26117781265 31341337518 52235562530 62682675036 78353343795 104471125060 156706687590 313413375180 2188670070007 4377340140014 6566010210021 8754680280028 10943350350035 13132020420042 21886700700070 26264040840084 32830051050105 43773401400140 65660102100210 131320204200420