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133101331123 = 1935919939791
BaseRepresentation
bin111101111110101110…
…1010010001010110011
3110201120001122012010111
41323331131102022303
54140042420043443
6141051303242151
712421242435025
oct1737535221263
9421501565114
10133101331123
11514a2260102
1221967449357
13c7225776c7
14662932c015
1536e027169d
hex1efd7522b3

133101331123 has 16 divisors (see below), whose sum is σ = 140581785600. Its totient is φ = 125668825920.

The previous prime is 133101331091. The next prime is 133101331133. The reversal of 133101331123 is 321133101331.

It is a cyclic number.

It is not a de Polignac number, because 133101331123 - 25 = 133101331091 is a prime.

It is a super-2 number, since 2×1331013311232 (a number of 23 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 = 133101331094 and 133101331103.

It is not an unprimeable number, because it can be changed into a prime (133101331133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13589358 + ... + 13599148.

It is an arithmetic number, because the mean of its divisors is an integer number (8786361600).

Almost surely, 2133101331123 is an apocalyptic number.

133101331123 is a deficient number, since it is larger than the sum of its proper divisors (7480454477).

133101331123 is a wasteful number, since it uses less digits than its factorization.

133101331123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12162.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 133101331123 its reverse (321133101331), we get a palindrome (454234432454).

The spelling of 133101331123 in words is "one hundred thirty-three billion, one hundred one million, three hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 19 359 1993 6821 9791 37867 186029 715487 3514969 13594253 19513463 66784411 370755797 7005333217 133101331123