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331041140133 = 31190711060143
BaseRepresentation
bin1001101000100111001…
…01101110110110100101
31011122110211022022212220
410310103211232312211
520410433012441013
6412024520302553
732626336156224
oct4642345566645
91148424268786
10331041140133
11118437103320
12541a9011a59
13252a8b06652
1412045966cbb
1589278e3b23
hex4d1396eda5

331041140133 has 16 divisors (see below), whose sum is σ = 482045316096. Its totient is φ = 200409773040.

The previous prime is 331041140071. The next prime is 331041140159.

331041140133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331041140133 - 210 = 331041139109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331041140033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5500141 + ... + 5560002.

It is an arithmetic number, because the mean of its divisors is an integer number (30127832256).

Almost surely, 2331041140133 is an apocalyptic number.

331041140133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331041140133 is a deficient number, since it is larger than the sum of its proper divisors (151004175963).

331041140133 is a wasteful number, since it uses less digits than its factorization.

331041140133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061064.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 331041 and 140133, that added together give a palindrome (471174).

The spelling of 331041140133 in words is "three hundred thirty-one billion, forty-one million, one hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 11 33 907 2721 9977 29931 11060143 33180429 121661573 364984719 10031549701 30094649103 110347046711 331041140133