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132031300313331 = 357145053169859
BaseRepresentation
bin11110000001010011101110…
…110000010010000011110011
3122022111001212022220210200000
4132001103232300102003303
5114301200100340011311
61144450201513201043
736544642463402406
oct3601235660220363
9568431768823600
10132031300313331
1139084183a83761
1212984673400183
1358896626c9103
1424864c5a59d3d
15103e685403056
hex7814eec120f3

132031300313331 has 48 divisors (see below), whose sum is σ = 200566480907520. Its totient is φ = 86778699265440.

The previous prime is 132031300313327. The next prime is 132031300313377. The reversal of 132031300313331 is 133313003130231.

132031300313331 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 3 + 13 + 0 + 0 + 313 + 331 = 666.

It is not a de Polignac number, because 132031300313331 - 22 = 132031300313327 is a prime.

It is a super-2 number, since 2×1320313003133312 (a number of 29 digits) contains 22 as substring.

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 = 132031300313295 and 132031300313304.

It is not an unprimeable number, because it can be changed into a prime (132031300313321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777214480 + ... + 777384338.

It is an arithmetic number, because the mean of its divisors is an integer number (4178468352240).

Almost surely, 2132031300313331 is an apocalyptic number.

132031300313331 is a deficient number, since it is larger than the sum of its proper divisors (68535180594189).

132031300313331 is an equidigital number, since it uses as much as digits as its factorization.

132031300313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214998 (or 214986 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 132031300313331 its reverse (133313003130231), we get a palindrome (265344303443562).

The spelling of 132031300313331 in words is "one hundred thirty-two trillion, thirty-one billion, three hundred million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 27 71 81 213 243 639 1917 5751 17253 45053 135159 169859 405477 509577 1216431 1528731 3198763 3649293 4586193 9596289 10947879 12059989 13758579 28788867 36179967 41275737 86366601 108539901 259099803 325619703 777299409 976859109 2930577327 7652657527 22957972581 68873917743 206621753229 543338684417 619865259687 1630016053251 1859595779061 4890048159753 14670144479259 44010433437777 132031300313331