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331044440133 = 31128135699821
BaseRepresentation
bin1001101000100111100…
…10010100100001000101
31011122111001111222122010
410310103302110201011
520410434334041013
6412025115124433
732626406212221
oct4642362244105
91148431458563
10331044440133
11118438a576a0
12541aa143719
13252a96c0704
1412046185781
158927d467c3
hex4d13c94845

331044440133 has 16 divisors (see below), whose sum is σ = 483232790592. Its totient is φ = 199918992000.

The previous prime is 331044440107. The next prime is 331044440143.

331044440133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331044440133 - 220 = 331043391557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331044440133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331044440143) 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, 17840638 + ... + 17859183.

It is an arithmetic number, because the mean of its divisors is an integer number (30202049412).

Almost surely, 2331044440133 is an apocalyptic number.

331044440133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331044440133 is a deficient number, since it is larger than the sum of its proper divisors (152188350459).

331044440133 is a wasteful number, since it uses less digits than its factorization.

331044440133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35700116.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 331044 and 440133, that added together give a palindrome (771177).

The spelling of 331044440133 in words is "three hundred thirty-one billion, forty-four million, four hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 11 33 281 843 3091 9273 35699821 107099463 392698031 1178094093 10031649701 30094949103 110348146711 331044440133