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221214404412122 = 2112914109109141
BaseRepresentation
bin110010010011000101111101…
…111111101000001011011010
31002000020220001012020121220212
4302103011331333220023122
5212443334100012141442
62102252254444451122
764411133106460202
oct6223057577501332
91060226035217825
10221214404412122
1164538558274500
1220988a00549aa2
1396585761940a4
143c8ab97475402
151a894634c9a82
hexc9317dfe82da

221214404412122 has 12 divisors (see below), whose sum is σ = 364729534547658. Its totient is φ = 100552002005400.

The previous prime is 221214404412091. The next prime is 221214404412139.

221214404412122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 205144576391161 + 16069828020961 = 14322869^2 + 4008719^2 .

It is a super-2 number, since 2×2212144044121222 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 457054554329 + ... + 457054554812.

Almost surely, 2221214404412122 is an apocalyptic number.

221214404412122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221214404412122 is a deficient number, since it is larger than the sum of its proper divisors (143515130135536).

221214404412122 is a wasteful number, since it uses less digits than its factorization.

221214404412122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914109109165 (or 914109109154 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 22121440 and 4412122, that added together give a palindrome (26533562).

The spelling of 221214404412122 in words is "two hundred twenty-one trillion, two hundred fourteen billion, four hundred four million, four hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 121 242 914109109141 1828218218282 10055200200551 20110400401102 110607202206061 221214404412122