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330100222032131 = 31714571663197341
BaseRepresentation
bin100101100001110010111001…
…0011110010111100100000011
31121021210021101001002002102012
41023003211302132113210003
5321231330223320012011
63130021540513243135
7126346645141323635
oct11303456236274403
91537707331062365
10330100222032131
11961a8799707701
12310337745634ab
1311226418353155
145b72d1651ca55
1528269e70cea8b
hex12c3972797903

330100222032131 has 32 divisors (see below), whose sum is σ = 346514011324416. Its totient is φ = 314072767008000.

The previous prime is 330100222032047. The next prime is 330100222032277. The reversal of 330100222032131 is 131230222001033.

It is a cyclic number.

It is not a de Polignac number, because 330100222032131 - 218 = 330100221769987 is a prime.

It is a super-2 number, since 2×3301002220321312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330100222032097 and 330100222032106.

It is not an unprimeable number, because it can be changed into a prime (330100222032431) 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, 1672641521 + ... + 1672838861.

It is an arithmetic number, because the mean of its divisors is an integer number (10828562853888).

Almost surely, 2330100222032131 is an apocalyptic number.

330100222032131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

330100222032131 is a deficient number, since it is larger than the sum of its proper divisors (16413789292285).

330100222032131 is a wasteful number, since it uses less digits than its factorization.

330100222032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199563.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 330100222032131 its reverse (131230222001033), we get a palindrome (461330444033164).

The spelling of 330100222032131 in words is "three hundred thirty trillion, one hundred billion, two hundred twenty-two million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 31 71 457 1663 2201 14167 32447 51553 118073 197341 759991 1005857 3660263 6117571 14011211 23559721 53959361 90184837 328178083 434347541 1672740191 2795729947 6403123427 10173520573 23300643893 149977383931 198496826237 722319960683 4649298901861 10648394259101 330100222032131