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131010204420 = 2232543113149791
BaseRepresentation
bin111101000000011010…
…0010001001100000100
3110112011022210221120100
41322000310101030010
54121302103020140
6140104003204100
712315361235514
oct1720064211404
9415138727510
10131010204420
1150619932717
1221483076630
13c47b275624
1464ab711844
15361b8ad530
hex1e80d11304

131010204420 has 144 divisors (see below), whose sum is σ = 410240742912. Its totient is φ = 33821383680.

The previous prime is 131010204419. The next prime is 131010204427. The reversal of 131010204420 is 24402010131.

131010204420 is a `hidden beast` number, since 1 + 31 + 0 + 10 + 204 + 420 = 666.

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 = 131010204393 and 131010204402.

It is not an unprimeable number, because it can be changed into a prime (131010204427) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 799725 + ... + 949515.

It is an arithmetic number, because the mean of its divisors is an integer number (2848894048).

Almost surely, 2131010204420 is an apocalyptic number.

131010204420 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 131010204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205120371456).

131010204420 is an abundant number, since it is smaller than the sum of its proper divisors (279230538492).

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

131010204420 is a wasteful number, since it uses less digits than its factorization.

131010204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149962 (or 149957 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 131010204420 its reverse (24402010131), we get a palindrome (155412214551).

The spelling of 131010204420 in words is "one hundred thirty-one billion, ten million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 113 129 172 180 215 226 258 339 387 430 452 516 565 645 678 774 860 1017 1130 1290 1356 1548 1695 1935 2034 2260 2580 3390 3870 4068 4859 5085 6780 7740 9718 10170 14577 19436 20340 24295 29154 43731 48590 58308 72885 87462 97180 145770 149791 174924 218655 291540 299582 437310 449373 599164 748955 874620 898746 1348119 1497910 1797492 2246865 2696238 2995820 4493730 5392476 6441013 6740595 8987460 12882026 13481190 16926383 19323039 25764052 26962380 32205065 33852766 38646078 50779149 57969117 64410130 67705532 77292156 84631915 96615195 101558298 115938234 128820260 152337447 169263830 193230390 203116596 231876468 253895745 289845585 304674894 338527660 386460780 507791490 579691170 609349788 727834469 761687235 1015582980 1159382340 1455668938 1523374470 2183503407 2911337876 3046748940 3639172345 4367006814 6550510221 7278344690 8734013628 10917517035 13101020442 14556689380 21835034070 26202040884 32752551105 43670068140 65505102210 131010204420