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131455020244050 = 232521717183662777
BaseRepresentation
bin11101111000111011000001…
…110010010001110001010010
3122020102222101101022002001100
4131320323001302101301102
5114212224340140302200
61143325334055245230
736455211642545346
oct3570730162216122
9566388341262040
10131455020244050
11389818409a2198
12128b0a44379816
135847203027b89
142466657b49626
15102e6a7ba2d00
hex778ec1c91c52

131455020244050 has 72 divisors (see below), whose sum is σ = 373950869374836. Its totient is φ = 32992632529920.

The previous prime is 131455020243959. The next prime is 131455020244063. The reversal of 131455020244050 is 50442020554131.

131455020244050 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 5 + 5 + 0 + 202 + 440 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 110894989587561 + 20560030656489 = 10530669^2 + 4534317^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131455020243996 and 131455020244014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8591823739 + ... + 8591839038.

Almost surely, 2131455020244050 is an apocalyptic number.

131455020244050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131455020244050 is an abundant number, since it is smaller than the sum of its proper divisors (242495849130786).

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

131455020244050 is a wasteful number, since it uses less digits than its factorization.

131455020244050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17183662812 (or 17183662804 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 131455020244050 its reverse (50442020554131), we get a palindrome (181897040798181).

The spelling of 131455020244050 in words is "one hundred thirty-one trillion, four hundred fifty-five billion, twenty million, two hundred forty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 17183662777 34367325554 51550988331 85918313885 103101976662 154652964993 171836627770 257754941655 292122267209 309305929986 429591569425 515509883310 584244534418 773264824965 859183138850 876366801627 1288774708275 1460611336045 1546529649930 1752733603254 2577549416550 2629100404881 2921222672090 3866324124825 4381834008135 5258200809762 7303056680225 7732648249650 8763668016270 13145502024405 14606113360450 21909170040675 26291004048810 43818340081350 65727510122025 131455020244050