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131142422220500 = 22532254111635901
BaseRepresentation
bin11101110100010111111001…
…011111011100111011010100
3122012100002111212222010212102
4131310113321133130323110
5114142114140042024000
61142525555210541232
736423504322311245
oct3564277137347324
9565302455863772
10131142422220500
1138871209516389
1212860343a37818
1358238a61ab682
1424554817d8ccc
1510264ae4e63d5
hex7745f97dced4

131142422220500 has 48 divisors (see below), whose sum is σ = 286427781149328. Its totient is φ = 52454637200000.

The previous prime is 131142422220499. The next prime is 131142422220517. The reversal of 131142422220500 is 5022224241131.

It can be written as a sum of positive squares in 8 ways, for example, as 13192092296464 + 117950329924036 = 3632092^2 + 10860494^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5452550 + ... + 17088450.

It is an arithmetic number, because the mean of its divisors is an integer number (5967245440611).

Almost surely, 2131142422220500 is an apocalyptic number.

131142422220500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142422220500 is an abundant number, since it is smaller than the sum of its proper divisors (155285358928828).

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

131142422220500 is a wasteful number, since it uses less digits than its factorization.

131142422220500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11658461 (or 11658449 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 131142422220500 its reverse (5022224241131), we get a palindrome (136164646461631).

The spelling of 131142422220500 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 22541 45082 90164 112705 225410 450820 563525 1127050 2254100 2817625 5635250 11270500 11635901 23271802 46543604 58179505 116359010 232718020 290897525 581795050 1163590100 1454487625 2908975250 5817950500 262284844441 524569688882 1049139377764 1311424222205 2622848444410 5245696888820 6557121111025 13114242222050 26228484444100 32785605555125 65571211110250 131142422220500