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131302341212120 = 235131961217864109
BaseRepresentation
bin11101110110101100110101…
…011001111111011111011000
3122012220101021220202122020222
4131312230311121333133120
5114202224143322241440
61143131243545535212
736441165263311361
oct3566546531773730
9565811256678228
10131302341212120
1138923012629771
12128873344a4508
1358359b0723c30
14245d0d2662b68
15102a71dcd12b5
hex776b3567f7d8

131302341212120 has 128 divisors (see below), whose sum is σ = 340390885464000. Its totient is φ = 45176301434880.

The previous prime is 131302341212117. The next prime is 131302341212131. The reversal of 131302341212120 is 21212143203131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 131302341212120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108329375 + ... + 109534734.

Almost surely, 2131302341212120 is an apocalyptic number.

131302341212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131302341212120 is an abundant number, since it is smaller than the sum of its proper divisors (209088544251880).

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

131302341212120 is a wasteful number, since it uses less digits than its factorization.

131302341212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217864213 (or 217864209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131302341212120 its reverse (21212143203131), we get a palindrome (152514484415251).

The spelling of 131302341212120 in words is "one hundred thirty-one trillion, three hundred two billion, three hundred forty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 61 65 76 95 104 122 130 152 190 244 247 260 305 380 488 494 520 610 760 793 988 1159 1220 1235 1586 1976 2318 2440 2470 3172 3965 4636 4940 5795 6344 7930 9272 9880 11590 15067 15860 23180 30134 31720 46360 60268 75335 120536 150670 301340 602680 217864109 435728218 871456436 1089320545 1742912872 2178641090 2832233417 4139418071 4357282180 5664466834 8278836142 8714564360 11328933668 13289710649 14161167085 16557672284 20697090355 22657867336 26579421298 28322334170 33115344568 41394180710 53158842596 53812434923 56644668340 66448553245 82788361420 106317685192 107624869846 113289336680 132897106490 165576722840 172766238437 215249739692 252504502331 265794212980 269062174615 345532476874 430499479384 505009004662 531588425960 538124349230 691064953748 863831192185 1010018009324 1076248698460 1262522511655 1382129907496 1727662384370 2020036018648 2152497396920 2525045023310 3282558530303 3455324768740 5050090046620 6565117060606 6910649537480 10100180093240 13130234121212 16412792651515 26260468242424 32825585303030 65651170606060 131302341212120