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1001122330130 = 25132781775781
BaseRepresentation
bin11101001000101111000…
…10100111011000010010
310112201001221021200222122
432210113202213120102
5112400244304031010
62043524221534242
7132220513254356
oct16442742473022
93481057250878
101001122330130
1135663450215a
12142035a14382
1373536967400
1436651519466
151b09505d855
hexe9178a7612

1001122330130 has 48 divisors (see below), whose sum is σ = 1951575348744. Its totient is φ = 369593003520.

The previous prime is 1001122330129. The next prime is 1001122330237. The reversal of 1001122330130 is 310332211001.

It can be written as a sum of positive squares in 12 ways, for example, as 318814941769 + 682307388361 = 564637^2 + 826019^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001122330099 and 1001122330108.

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 23 ways as a sum of consecutive naturals, for example, 13172840 + ... + 13248620.

Almost surely, 21001122330130 is an apocalyptic number.

1001122330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001122330130 is a deficient number, since it is larger than the sum of its proper divisors (950453018614).

1001122330130 is a wasteful number, since it uses less digits than its factorization.

1001122330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83631 (or 83618 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1001122330130 its reverse (310332211001), we get a palindrome (1311454541131).

The spelling of 1001122330130 in words is "one trillion, one billion, one hundred twenty-two million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 169 338 845 1690 7817 15634 39085 75781 78170 101621 151562 203242 378905 508105 757810 985153 1016210 1321073 1970306 2642146 4925765 6605365 9851530 12806989 13210730 25613978 64034945 128069890 592380077 1184760154 2961900385 5923800770 7700941001 15401882002 38504705005 77009410010 100112233013 200224466026 500561165065 1001122330130