Search a number
-
+
111121021001221 = 71112132748743283
BaseRepresentation
bin11001010001000001100000…
…111110111101111000000101
3112120110001210000100001110121
4121101001200332331320011
5104031101322334014341
61032200143050221541
732256141330021130
oct3121014076757005
9476401700301417
10111121021001221
1132452184488570
1210567bb91248b1
134a0088a13559a
141d62401147217
15cca7a58ad4d1
hex651060fbde05

111121021001221 has 32 divisors (see below), whose sum is σ = 138662954754048. Its totient is φ = 86511279061440.

The previous prime is 111121021001129. The next prime is 111121021001251. The reversal of 111121021001221 is 122100120121111.

It is a cyclic number.

It is not a de Polignac number, because 111121021001221 - 27 = 111121021001093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111121021001195 and 111121021001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111121021001251) 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, 2567291646 + ... + 2567334928.

It is an arithmetic number, because the mean of its divisors is an integer number (4333217336064).

Almost surely, 2111121021001221 is an apocalyptic number.

111121021001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111121021001221 is a deficient number, since it is larger than the sum of its proper divisors (27541933752827).

111121021001221 is a wasteful number, since it uses less digits than its factorization.

111121021001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72001.

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

Adding to 111121021001221 its reverse (122100120121111), we get a palindrome (233221141122332).

The spelling of 111121021001221 in words is "one hundred eleven trillion, one hundred twenty-one billion, twenty-one million, one thousand, two hundred twenty-one".

Divisors: 1 7 11 77 1213 8491 13343 27487 43283 93401 192409 302357 302981 476113 2116499 3332791 33341731 52502279 233392117 366759041 367515953 577525069 1189719821 2567313287 4042675483 8328038747 13086918031 91608426217 1443130142873 10101911000111 15874431571603 111121021001221