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1001102644042 = 217113877297113
BaseRepresentation
bin11101001000101100101…
…11100001001101001010
310112201000120020112202021
432210112113201031022
5112400224234102132
62043522235555054
7132220154033464
oct16442627411512
93481016215667
101001102644042
11356624386766
1214202b2bba8a
1373532863b37
143664ca73134
151b093470997
hexe9165e134a

1001102644042 has 32 divisors (see below), whose sum is σ = 1605891662352. Its totient is φ = 466404040704.

The previous prime is 1001102643973. The next prime is 1001102644057. The reversal of 1001102644042 is 2404462011001.

It can be written as a sum of positive squares in 8 ways, for example, as 553299433281 + 447803210761 = 743841^2 + 669181^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001102643998 and 1001102644016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3220878 + ... + 3517990.

Almost surely, 21001102644042 is an apocalyptic number.

1001102644042 is a deficient number, since it is larger than the sum of its proper divisors (604789018310).

1001102644042 is a wasteful number, since it uses less digits than its factorization.

1001102644042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298122.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1001102644042 its reverse (2404462011001), we get a palindrome (3405564655043).

The spelling of 1001102644042 in words is "one trillion, one billion, one hundred two million, six hundred forty-four thousand, forty-two".

Divisors: 1 2 17 34 113 226 877 1754 1921 3842 14909 29818 99101 198202 297113 594226 1684717 3369434 5050921 10101842 33573769 67147538 260568101 521136202 570754073 1141508146 4429657717 8859315434 29444195413 58888390826 500551322021 1001102644042