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110131332323130 = 23351854121999559
BaseRepresentation
bin11001000010100111110010…
…111100010001011100111010
3112102221110012220111001111000
4121002213302330101130322
5103413342432033320010
61030121345143145430
732124504040040106
oct3102476274213472
9472843186431430
10110131332323130
1132100487a84418
1210428234445276
13495b4561ba471
141d2a556342906
15caeb7e4ed7c0
hex6429f2f1173a

110131332323130 has 64 divisors (see below), whose sum is σ = 293699405894400. Its totient is φ = 29366769983040.

The previous prime is 110131332323099. The next prime is 110131332323143. The reversal of 110131332323130 is 31323233131011.

110131332323130 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 3 + 1 + 332 + 323 + 1 + 3 + 0 = 666.

110131332323130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110131332323094 and 110131332323103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5993710 + ... + 16005849.

It is an arithmetic number, because the mean of its divisors is an integer number (4589053217100).

Almost surely, 2110131332323130 is an apocalyptic number.

110131332323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110131332323130 is an abundant number, since it is smaller than the sum of its proper divisors (183568073571270).

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

110131332323130 is a wasteful number, since it uses less digits than its factorization.

110131332323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22018116 (or 22018110 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 110131332323130 its reverse (31323233131011), we get a palindrome (141454565454141).

The spelling of 110131332323130 in words is "one hundred ten trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 18541 37082 55623 92705 111246 166869 185410 278115 333738 500607 556230 834345 1001214 1668690 2503035 5006070 21999559 43999118 65998677 109997795 131997354 197996031 219995590 329993385 395992062 593988093 659986770 989980155 1187976186 1979960310 2969940465 5939880930 407893823419 815787646838 1223681470257 2039469117095 2447362940514 3671044410771 4078938234190 6118407351285 7342088821542 11013133232313 12236814702570 18355222053855 22026266464626 36710444107710 55065666161565 110131332323130