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1101431410321 = 11972357437959
BaseRepresentation
bin10000000001110010011…
…011011000111010010001
310220021222122111221112211
4100001302123120322101
5121021212420112241
62201553545352121
7142401332341324
oct20016233307221
93807878457484
101101431410321
11395129353830
1215956b198641
137cb31503928
143b4496347bb
151d9b649c781
hex100726d8e91

1101431410321 has 16 divisors (see below), whose sum is σ = 1214466583680. Its totient is φ = 990555886080.

The previous prime is 1101431410297. The next prime is 1101431410349. The reversal of 1101431410321 is 1230141341011.

It is a cyclic number.

It is not a de Polignac number, because 1101431410321 - 213 = 1101431402129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101431410292 and 1101431410301.

It is not an unprimeable number, because it can be changed into a prime (1101431410361) 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 15 ways as a sum of consecutive naturals, for example, 2295940 + ... + 2733898.

It is an arithmetic number, because the mean of its divisors is an integer number (75904161480).

Almost surely, 21101431410321 is an apocalyptic number.

1101431410321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101431410321 is a deficient number, since it is larger than the sum of its proper divisors (113035173359).

1101431410321 is a wasteful number, since it uses less digits than its factorization.

1101431410321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440424.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 1101431410321 its reverse (1230141341011), we get a palindrome (2331572751332).

The spelling of 1101431410321 in words is "one trillion, one hundred one billion, four hundred thirty-one million, four hundred ten thousand, three hundred twenty-one".

Divisors: 1 11 97 1067 2357 25927 228629 437959 2514919 4817549 42482023 467302253 1032269363 11354962993 100130128211 1101431410321