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133143341331 = 37111344336777
BaseRepresentation
bin111101111111111110…
…1100010100100010011
3110201122222200112022010
41323333331202210103
54140134143410311
6141055403514003
712422262504540
oct1737775424423
9421588615263
10133143341331
1151513a43a90
1221979528903
13c72b196210
146630b45bc7
1536e3cbdda6
hex1efff62913

133143341331 has 32 divisors (see below), whose sum is σ = 238354518528. Its totient is φ = 63844957440.

The previous prime is 133143341323. The next prime is 133143341333.

133143341331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133143341331 - 23 = 133143341323 is a prime.

It is a super-2 number, since 2×1331433413312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133143341333) 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, 22165386 + ... + 22171391.

It is an arithmetic number, because the mean of its divisors is an integer number (7448578704).

Almost surely, 2133143341331 is an apocalyptic number.

133143341331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133143341331 is a deficient number, since it is larger than the sum of its proper divisors (105211177197).

133143341331 is a wasteful number, since it uses less digits than its factorization.

133143341331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44336811.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 133143 and 341331, that added together give a palindrome (474474).

The spelling of 133143341331 in words is "one hundred thirty-three billion, one hundred forty-three million, three hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 44336777 133010331 310357439 487704547 576378101 931072317 1463113641 1729134303 3413931829 4034646707 6340159111 10241795487 12103940121 19020477333 44381113777 133143341331