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1104144100133 = 176115719135507
BaseRepresentation
bin10000000100010100000…
…111011110101100100101
310220112222200220212101212
4100010110013132230211
5121042241342201013
62203123052001205
7142525501666064
oct20042407365445
93815880825355
101104144100133
113962a0617838
12159ba7760205
1380174511329
143b625a0c1db
151dac46dc6a8
hex101141deb25

1104144100133 has 32 divisors (see below), whose sum is σ = 1202122487808. Its totient is φ = 1010301926400.

The previous prime is 1104144100091. The next prime is 1104144100139. The reversal of 1104144100133 is 3310014414011.

It is a cyclic number.

It is not a de Polignac number, because 1104144100133 - 212 = 1104144096037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1104144100099 and 1104144100108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104144100139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31078766 + ... + 31114272.

It is an arithmetic number, because the mean of its divisors is an integer number (37566327744).

Almost surely, 21104144100133 is an apocalyptic number.

It is an amenable number.

1104144100133 is a deficient number, since it is larger than the sum of its proper divisors (97978387675).

1104144100133 is a wasteful number, since it uses less digits than its factorization.

1104144100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35933.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1104144100133 its reverse (3310014414011), we get a palindrome (4414158514144).

The spelling of 1104144100133 in words is "one trillion, one hundred four billion, one hundred forty-four million, one hundred thousand, one hundred thirty-three".

Divisors: 1 17 61 157 191 1037 2669 3247 9577 11651 29987 35507 162809 198067 509779 603619 1829207 2165927 5574599 6781837 31096519 36820759 94768183 115291229 340050539 413692057 1064748409 5780859163 7032764969 18100722953 64949652949 1104144100133