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111021120000221 = 733175250191381
BaseRepresentation
bin11001001111100100011110…
…011010111001000011011101
3112120002111220201222101022112
4121033210132122321003131
5104022432223210001341
61032042222021123405
732246003564355344
oct3117443632710335
9476074821871275
10111021120000221
1132413879a1a922
1210550778559565
1349c4328ca8b42
141d5b6452d6b5b
15cc7daa1cbaeb
hex64f91e6b90dd

111021120000221 has 16 divisors (see below), whose sum is σ = 112900365062448. Its totient is φ = 109151582400000.

The previous prime is 111021120000073. The next prime is 111021120000247. The reversal of 111021120000221 is 122000021120111.

It can be written as a sum of positive squares in 8 ways, for example, as 3357378259225 + 107663741740996 = 1832315^2 + 10376114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111021120000221 is a prime.

It is a super-2 number, since 2×1110211200002212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111021120000196 and 111021120000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111021180000221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214879951 + ... + 1214971331.

It is an arithmetic number, because the mean of its divisors is an integer number (7056272816403).

Almost surely, 2111021120000221 is an apocalyptic number.

It is an amenable number.

111021120000221 is a deficient number, since it is larger than the sum of its proper divisors (1879245062227).

111021120000221 is an equidigital number, since it uses as much as digits as its factorization.

111021120000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144272.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 111021120000221 its reverse (122000021120111), we get a palindrome (233021141120332).

The spelling of 111021120000221 in words is "one hundred eleven trillion, twenty-one billion, one hundred twenty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 73 317 23141 52501 91381 3832573 6670813 16642817 28967777 1214925641 2114647721 4797593881 350224353313 1520837260277 111021120000221