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131115201303144 = 23367103791643731
BaseRepresentation
bin11101110011111110100010…
…111111111001001001101000
3122012020111020211000021012010
4131303332202333321021220
5114141142413013200034
61142505254132115520
736421521626321202
oct3563764277711150
9565214224007163
10131115201303144
113886070aa73273
1212857007765ba0
1358211587cb996
14245401c4cb772
1510259198743e9
hex773fa2ff9268

131115201303144 has 64 divisors (see below), whose sum is σ = 335910268362240. Its totient is φ = 42634764722880.

The previous prime is 131115201303089. The next prime is 131115201303193. The reversal of 131115201303144 is 441303102511131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395656242 + ... + 395987489.

It is an arithmetic number, because the mean of its divisors is an integer number (5248597943160).

Almost surely, 2131115201303144 is an apocalyptic number.

It is an amenable number.

131115201303144 is an abundant number, since it is smaller than the sum of its proper divisors (204795067059096).

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

131115201303144 is a wasteful number, since it uses less digits than its factorization.

131115201303144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791643910 (or 791643906 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 131115201303144 its reverse (441303102511131), we get a palindrome (572418303814275).

The spelling of 131115201303144 in words is "one hundred thirty-one trillion, one hundred fifteen billion, two hundred one million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 67 103 134 201 206 268 309 402 412 536 618 804 824 1236 1608 2472 6901 13802 20703 27604 41406 55208 82812 165624 791643731 1583287462 2374931193 3166574924 4749862386 6333149848 9499724772 18999449544 53040129977 81539304293 106080259954 159120389931 163078608586 212160519908 244617912879 318240779862 326157217172 424321039816 489235825758 636481559724 652314434344 978471651516 1272963119448 1956943303032 5463133387631 10926266775262 16389400162893 21852533550524 32778800325786 43705067101048 65557600651572 131115201303144