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131344425141220 = 225411973581227053
BaseRepresentation
bin11101110111010100000001…
…110011011100001111100100
3122020001101220211002202001201
4131313110001303130033210
5114203421340314004340
61143202443530332244
736444215203643254
oct3567240163341744
9566041824082051
10131344425141220
1138939948939565
121289351a28a084
135839959458425
1424611658d5964
15102b88370879a
hex777501cdc3e4

131344425141220 has 96 divisors (see below), whose sum is σ = 284065511992416. Its totient is φ = 50981711155200.

The previous prime is 131344425141211. The next prime is 131344425141227. The reversal of 131344425141220 is 22141524443131.

It can be written as a sum of positive squares in 16 ways, for example, as 22798199364516 + 108546225776704 = 4774746^2 + 10418552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131344425141220.

It is not an unprimeable number, because it can be changed into a prime (131344425141227) 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, 578361214 + ... + 578588266.

It is an arithmetic number, because the mean of its divisors is an integer number (2959015749921).

Almost surely, 2131344425141220 is an apocalyptic number.

131344425141220 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 131344425141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142032755996208).

131344425141220 is an abundant number, since it is smaller than the sum of its proper divisors (152721086851196).

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

131344425141220 is a wasteful number, since it uses less digits than its factorization.

131344425141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230881 (or 230879 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 131344425141220 its reverse (22141524443131), we get a palindrome (153485949584351).

The spelling of 131344425141220 in words is "one hundred thirty-one trillion, three hundred forty-four billion, four hundred twenty-five million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 197 205 394 410 788 820 985 1970 3581 3940 7162 8077 14324 16154 17905 32308 35810 40385 71620 80770 146821 161540 227053 293642 454106 587284 705457 734105 908212 1135265 1410914 1468210 2270530 2821828 2936420 3527285 4541060 7054570 9309173 14109140 18618346 28923737 37236692 44729441 46545865 57847474 89458882 93091730 115694948 144618685 178917764 186183460 223647205 289237370 447294410 578474740 813076793 894588820 1626153586 1833907081 3252307172 3667814162 4065383965 7335628324 8130767930 9169535405 16261535860 18339070810 33336148513 36678141620 66672297026 133344594052 160176128221 166680742565 320352256442 333361485130 640704512884 666722970260 800880641105 1601761282210 3203522564420 6567221257061 13134442514122 26268885028244 32836106285305 65672212570610 131344425141220