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1133142444401 = 113591493192193
BaseRepresentation
bin10000011111010100100…
…011011000100101110001
311000022211122102101102112
4100133110203120211301
5122031133431210101
62224320343055105
7144603216566612
oct20372443304561
94008748371375
101133142444401
113a7621407010
1216373b141495
1382b16209716
143cbb6dd7c09
151e7204096bb
hex107d48d8971

1133142444401 has 16 divisors (see below), whose sum is σ = 1240435451520. Its totient is φ = 1026566661120.

The previous prime is 1133142444391. The next prime is 1133142444407. The reversal of 1133142444401 is 1044442413311.

It is not a de Polignac number, because 1133142444401 - 218 = 1133142182257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1133142444407) 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, 5799761 + ... + 5991953.

It is an arithmetic number, because the mean of its divisors is an integer number (77527215720).

Almost surely, 21133142444401 is an apocalyptic number.

1133142444401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1133142444401 is a deficient number, since it is larger than the sum of its proper divisors (107293007119).

1133142444401 is a wasteful number, since it uses less digits than its factorization.

1133142444401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194056.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 1133142444401 its reverse (1044442413311), we get a palindrome (2177584857712).

The spelling of 1133142444401 in words is "one trillion, one hundred thirty-three billion, one hundred forty-two million, four hundred forty-four thousand, four hundred one".

Divisors: 1 11 359 1493 3949 16423 192193 535987 2114123 5895857 68997287 286944149 758970157 3156385639 103012949491 1133142444401