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331230032133 = 371113110299711
BaseRepresentation
bin1001101000111101101…
…10010011000100000101
31011122221222202000222220
410310132312103010011
520411324342012013
6412055345042553
732634121550610
oct4643666230405
91148858660886
10331230032133
11118523799710
1254240326459
1325308ca1970
1412062a97177
1589392a6b23
hex4d1ed93105

331230032133 has 32 divisors (see below), whose sum is σ = 592971251712. Its totient is φ = 158831582400.

The previous prime is 331230032131. The next prime is 331230032137.

331230032133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331230032133 - 21 = 331230032131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331230032131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55146853 + ... + 55152858.

It is an arithmetic number, because the mean of its divisors is an integer number (18530351616).

Almost surely, 2331230032133 is an apocalyptic number.

331230032133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331230032133 is a deficient number, since it is larger than the sum of its proper divisors (261741219579).

331230032133 is a wasteful number, since it uses less digits than its factorization.

331230032133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110299745.

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 3312300 and 32133, that added together give a palindrome (3344433).

The spelling of 331230032133 in words is "three hundred thirty-one billion, two hundred thirty million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 110299711 330899133 772097977 1213296821 1433896243 2316293931 3639890463 4301688729 8493077747 10037273701 15772858673 25479233241 30111821103 47318576019 110410010711 331230032133