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1102001110221 = 311592689210487
BaseRepresentation
bin10000000010010100011…
…000100111110011001101
310220100110100111200220010
4100002110120213303031
5121023344241011341
62202130300143433
7142421420612064
oct20022430476315
93810410450803
101102001110221
113953a09967a0
121596a9b37b79
137cbc2550a6b
143b4a11711db
151d9eb4d2716
hex10094627ccd

1102001110221 has 32 divisors (see below), whose sum is σ = 1630692633600. Its totient is φ = 656312186880.

The previous prime is 1102001110183. The next prime is 1102001110349. The reversal of 1102001110221 is 1220111002011.

It is not a de Polignac number, because 1102001110221 - 222 = 1101996915917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1102001110197 and 1102001110206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102001111221) 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, 5130240 + ... + 5340726.

It is an arithmetic number, because the mean of its divisors is an integer number (50959144800).

Almost surely, 21102001110221 is an apocalyptic number.

1102001110221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102001110221 is a deficient number, since it is larger than the sum of its proper divisors (528691523379).

1102001110221 is a wasteful number, since it uses less digits than its factorization.

1102001110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213249.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1102001110221 its reverse (1220111002011), we get a palindrome (2322112112232).

The spelling of 1102001110221 in words is "one trillion, one hundred two billion, one million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 11 33 59 177 649 1947 2689 8067 29579 88737 158651 210487 475953 631461 1745161 2315357 5235483 6946071 12418733 37256199 136606063 409818189 565999543 1697998629 6225994973 18677984919 33393973037 100181919111 367333703407 1102001110221