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1100202311221 = 1317149283711777
BaseRepresentation
bin10000000000101001001…
…010101111111000110101
310220011210222202020112221
4100000221022233320311
5121011203242424341
62201232001442341
7142326016226116
oct20005112577065
93804728666487
101100202311221
11394658582452
121592876403b1
137c996991560
143b3702cc20d
151d943614ed1
hex100292afe35

1100202311221 has 32 divisors (see below), whose sum is σ = 1263501439200. Its totient is φ = 949001650176.

The previous prime is 1100202311203. The next prime is 1100202311227. The reversal of 1100202311221 is 1221132020011.

It can be written as a sum of positive squares in 16 ways, for example, as 626361444900 + 473840866321 = 791430^2 + 688361^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100202311221 - 25 = 1100202311189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100202311195 and 1100202311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100202311227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93413685 + ... + 93425461.

It is an arithmetic number, because the mean of its divisors is an integer number (39484419975).

Almost surely, 21100202311221 is an apocalyptic number.

It is an amenable number.

1100202311221 is a deficient number, since it is larger than the sum of its proper divisors (163299127979).

1100202311221 is a wasteful number, since it uses less digits than its factorization.

1100202311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14793.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1100202311221 its reverse (1221132020011), we get a palindrome (2321334331232).

The spelling of 1100202311221 in words is "one trillion, one hundred billion, two hundred two million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 13 17 149 221 1937 2533 2837 11777 32929 36881 48229 153101 200209 422713 626977 1754773 2602717 5495269 7186121 22812049 29831141 33411349 93419573 387804833 434347537 567992933 4978291001 7383908129 64717783013 84630947017 1100202311221