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10001113221 = 3114712750773
BaseRepresentation
bin10010101000001110…
…01110000010000101
3221210222212012011210
421110013032002011
5130440241110341
64332222322033
7502560026331
oct112407160205
927728765153
1010001113221
114272405430
121b31429319
13c34cba098
146ac3727c1
153d802cc16
hex2541ce085

10001113221 has 32 divisors (see below), whose sum is σ = 14973861888. Its totient is φ = 5885490240.

The previous prime is 10001113211. The next prime is 10001113271. The reversal of 10001113221 is 12231110001.

It is not a de Polignac number, because 10001113221 - 27 = 10001113093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001113197 and 10001113206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001113211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171591 + ... + 222363.

It is an arithmetic number, because the mean of its divisors is an integer number (467933184).

Almost surely, 210001113221 is an apocalyptic number.

10001113221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001113221 is a deficient number, since it is larger than the sum of its proper divisors (4972748667).

10001113221 is a wasteful number, since it uses less digits than its factorization.

10001113221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50961.

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

Adding to 10001113221 its reverse (12231110001), we get a palindrome (22232223222).

The spelling of 10001113221 in words is "ten billion, one million, one hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 11 33 47 127 141 381 517 1397 1551 4191 5969 17907 50773 65659 152319 196977 558503 1675509 2386331 6448171 7158993 19344513 26249641 70929881 78748923 212789643 303064037 909192111 3333704407 10001113221