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131000030310420 = 22355211127747577
BaseRepresentation
bin11101110010010011010010…
…010001011011000000010100
3122011211110222100110122100000
4131302103102101123000110
5114132301030224413140
61142340325542051300
736410303605121205
oct3562232221330024
9564743870418300
10131000030310420
1138816889a45857
1212838825119b30
135813332c0408b
14244c6146555ac
1510229287eaa30
hex7724d245b014

131000030310420 has 144 divisors (see below), whose sum is σ = 414037054162368. Its totient is φ = 34767780284160.

The previous prime is 131000030310407. The next prime is 131000030310473. The reversal of 131000030310420 is 24013030000131.

131000030310420 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 0 + 3 + 0 + 310 + 42 + 0 = 666.

It is a super-2 number, since 2×1310000303104202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131000030310393 and 131000030310402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62848329 + ... + 64899248.

It is an arithmetic number, because the mean of its divisors is an integer number (2875257320572).

Almost surely, 2131000030310420 is an apocalyptic number.

131000030310420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000030310420 is an abundant number, since it is smaller than the sum of its proper divisors (283037023851948).

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

131000030310420 is a wasteful number, since it uses less digits than its factorization.

131000030310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127747812 (or 127747798 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131000030310420 its reverse (24013030000131), we get a palindrome (155013060310551).

The spelling of 131000030310420 in words is "one hundred thirty-one trillion, thirty million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 211 243 270 324 405 422 486 540 633 810 844 972 1055 1215 1266 1620 1899 2110 2430 2532 3165 3798 4220 4860 5697 6330 7596 9495 11394 12660 17091 18990 22788 28485 34182 37980 51273 56970 68364 85455 102546 113940 170910 205092 256365 341820 512730 1025460 127747577 255495154 383242731 510990308 638737885 766485462 1149728193 1277475770 1532970924 1916213655 2299456386 2554951540 3449184579 3832427310 4598912772 5748640965 6898369158 7664854620 10347553737 11497281930 13796738316 17245922895 20695107474 22994563860 26954738747 31042661211 34491845790 41390214948 51737768685 53909477494 62085322422 68983691580 80864216241 103475537370 107818954988 124170644844 134773693735 155213306055 161728432482 206951074740 242592648723 269547387470 310426612110 323456864964 404321081205 485185297446 539094774940 620853224220 727777946169 808642162410 970370594892 1212963243615 1455555892338 1617284324820 2183333838507 2425926487230 2911111784676 3638889730845 4366667677014 4851852974460 6550001515521 7277779461690 8733335354028 10916669192535 13100003031042 14555558923380 21833338385070 26200006062084 32750007577605 43666676770140 65500015155210 131000030310420