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1001022021112 = 232947925313559
BaseRepresentation
bin11101001000100011000…
…11111101110111111000
310112200210221112110212211
432210101203331313320
5112400043114133422
62043510235544504
7132215154534301
oct16442143756770
93480727473784
101001022021112
1135659291a543
121420082bb134
137351bc46069
14366420877a8
151b08b347577
hexe9118fddf8

1001022021112 has 64 divisors (see below), whose sum is σ = 1947006720000. Its totient is φ = 481917152640.

The previous prime is 1001022021079. The next prime is 1001022021169. The reversal of 1001022021112 is 2111202201001.

It is a junction number, because it is equal to n+sod(n) for n = 1001022021092 and 1001022021101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281263189 + ... + 281266747.

It is an arithmetic number, because the mean of its divisors is an integer number (30421980000).

Almost surely, 21001022021112 is an apocalyptic number.

It is an amenable number.

1001022021112 is a deficient number, since it is larger than the sum of its proper divisors (945984698888).

1001022021112 is a wasteful number, since it uses less digits than its factorization.

1001022021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1001022021112 its reverse (2111202201001), we get a palindrome (3112224222113).

The spelling of 1001022021112 in words is "one trillion, one billion, twenty-two million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 29 58 116 232 479 958 1916 2531 3559 3832 5062 7118 10124 13891 14236 20248 27782 28472 55564 73399 103211 111128 146798 206422 293596 412844 587192 825688 1212349 1704761 2424698 3409522 4849396 6819044 9007829 9698792 13638088 18015658 35158121 36031316 49438069 70316242 72062632 98876138 140632484 197752276 261227041 281264968 395504552 522454082 1044908164 2089816328 4314750091 8629500182 17259000364 34518000728 125127752639 250255505278 500511010556 1001022021112