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133044440331 = 3114785779781
BaseRepresentation
bin111101111101000010…
…0010000110100001011
3110201102002120211122010
41323322010100310023
54134433334042311
6141041512031003
712416652040455
oct1737204206413
9421362524563
10133044440331
1151473133220
1221950392463
13c713848a0a
14662195d2d5
1536da284da6
hex1efa110d0b

133044440331 has 16 divisors (see below), whose sum is σ = 197636617728. Its totient is φ = 78917397600.

The previous prime is 133044440329. The next prime is 133044440377.

133044440331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133044440331 - 21 = 133044440329 is a prime.

It is a super-2 number, since 2×1330444403312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133044440311) 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, 42888340 + ... + 42891441.

It is an arithmetic number, because the mean of its divisors is an integer number (12352288608).

Almost surely, 2133044440331 is an apocalyptic number.

133044440331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133044440331 is a deficient number, since it is larger than the sum of its proper divisors (64592177397).

133044440331 is a wasteful number, since it uses less digits than its factorization.

133044440331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85779842.

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

It can be divided in two parts, 133044 and 440331, that added together give a palindrome (573375).

The spelling of 133044440331 in words is "one hundred thirty-three billion, forty-four million, four hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 11 33 47 141 517 1551 85779781 257339343 943577591 2830732773 4031649707 12094949121 44348146777 133044440331