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133681608121 = 7113136739163
BaseRepresentation
bin111110010000000001…
…0110111010110111001
3110210001111112022112011
41330200002313112321
54142234442424441
6141225032445521
712441516630505
oct1744002672671
9423044468464
10133681608121
115176a867876
1221aa98498a1
13c7b5858c89
14668241d305
153726195581
hex1f200b75b9

133681608121 has 16 divisors (see below), whose sum is σ = 136974993408. Its totient is φ = 130432957200.

The previous prime is 133681608091. The next prime is 133681608133. The reversal of 133681608121 is 121806186331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 133681608121 - 211 = 133681606073 is a prime.

It is a super-2 number, since 2×1336816081212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133681605121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3393886 + ... + 3433048.

It is an arithmetic number, because the mean of its divisors is an integer number (8560937088).

Almost surely, 2133681608121 is an apocalyptic number.

It is an amenable number.

133681608121 is a deficient number, since it is larger than the sum of its proper divisors (3293385287).

133681608121 is a wasteful number, since it uses less digits than its factorization.

133681608121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39732.

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 133681608121 in words is "one hundred thirty-three billion, six hundred eighty-one million, six hundred eight thousand, one hundred twenty-one".

Divisors: 1 71 131 367 9301 26057 39163 48077 2780573 3413467 5130353 14372821 364255063 1020470291 1882839551 133681608121