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131121304513456 = 2447853763926759
BaseRepresentation
bin11101110100000100001110…
…110001110010101110110000
3122012021002000011021110210111
4131310010032301302232300
5114141242412423412311
61142512143513111104
736422126105622235
oct3564041661625660
9565232004243714
10131121304513456
1138863262088534
121285822b6b8494
1358218bc09352a
14245443acc578c
151025b75597d21
hex77410ec72bb0

131121304513456 has 80 divisors (see below), whose sum is σ = 259800671692800. Its totient is φ = 64079736447744.

The previous prime is 131121304513351. The next prime is 131121304513471. The reversal of 131121304513456 is 654315403121131.

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 15 ways as a sum of consecutive naturals, for example, 4900069005 + ... + 4900095763.

It is an arithmetic number, because the mean of its divisors is an integer number (3247508396160).

Almost surely, 2131121304513456 is an apocalyptic number.

131121304513456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131121304513456 is a deficient number, since it is larger than the sum of its proper divisors (128679367179344).

131121304513456 is a wasteful number, since it uses less digits than its factorization.

131121304513456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35306 (or 35300 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 131121304513456 its reverse (654315403121131), we get a palindrome (785436707634587).

The spelling of 131121304513456 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred four million, five hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 47 94 188 376 752 853 1706 3412 6824 7639 13648 15278 26759 30556 40091 53518 61112 80182 107036 122224 160364 214072 320728 359033 428144 641456 718066 1257673 1436132 2515346 2872264 5030692 5744528 6516067 10061384 13032134 20122768 22825427 26064268 45650854 52128536 91301708 104257072 182603416 204412001 306255149 365206832 408824002 612510298 817648004 1072795069 1225020596 1635296008 2145590138 2450041192 3270592016 4291180276 4900082384 8582360552 9607364047 17164721104 19214728094 38429456188 76858912376 153717824752 174363436853 348726873706 697453747412 1394907494824 2789814989648 8195081532091 16390163064182 32780326128364 65560652256728 131121304513456