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221321202123122 = 21018291321652009
BaseRepresentation
bin110010010100101001011011…
…101000100100000101110010
31002000122002201002222110121122
4302110221123220210011302
5213002111310220414442
62102413320122222242
764421633465155133
oct6224513350440562
91060562632873548
10221321202123122
1164579881848482
12209a5646954982
13966566610061a
143c92009235c8a
151a8c1143c0dd2
hexc94a5ba24172

221321202123122 has 16 divisors (see below), whose sum is σ = 335673177499800. Its totient is φ = 109432786262400.

The previous prime is 221321202123103. The next prime is 221321202123127.

221321202123122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 200638981054681 + 20682221068441 = 14164709^2 + 4547771^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221321202123091 and 221321202123100.

It is not an unprimeable number, because it can be changed into a prime (221321202123127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660658547 + ... + 660993462.

Almost surely, 2221321202123122 is an apocalyptic number.

221321202123122 is a deficient number, since it is larger than the sum of its proper divisors (114351975376678).

221321202123122 is a wasteful number, since it uses less digits than its factorization.

221321202123122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321652941.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 22132120 and 2123122, that added together give a palindrome (24255242).

The spelling of 221321202123122 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, two hundred two million, one hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 101 202 829 1658 83729 167458 1321652009 2643304018 133486852909 266973705818 1095649515461 2191299030922 110660601061561 221321202123122