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1106599580112 = 243134723375481
BaseRepresentation
bin10000000110100110011…
…110011001000111010000
310220210022211100011200210
4100012212132121013100
5121112303443030422
62204210445244120
7142643366142615
oct20064636310720
93823284304623
101106599580112
11397340683234
1215a571b63640
1380476153770
143b7b9b9050c
151dbba07210c
hex101a67991d0

1106599580112 has 80 divisors (see below), whose sum is σ = 3079276816448. Its totient is φ = 340419179520.

The previous prime is 1106599580111. The next prime is 1106599580123. The reversal of 1106599580112 is 2110859956011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106599580111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2759412 + ... + 3134892.

Almost surely, 21106599580112 is an apocalyptic number.

1106599580112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1106599580112 is an abundant number, since it is smaller than the sum of its proper divisors (1972677236336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1106599580112 is a wasteful number, since it uses less digits than its factorization.

1106599580112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380228 (or 380222 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 48.

The spelling of 1106599580112 in words is "one trillion, one hundred six billion, five hundred ninety-nine million, five hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 4723 9446 14169 18892 28338 37784 56676 61399 75568 113352 122798 184197 226704 245596 368394 375481 491192 736788 750962 982384 1126443 1473576 1501924 2252886 2947152 3003848 4505772 4881253 6007696 9011544 9762506 14643759 18023088 19525012 29287518 39050024 58575036 78100048 117150072 234300144 1773396763 3546793526 5320190289 7093587052 10640380578 14187174104 21280761156 23054157919 28374348208 42561522312 46108315838 69162473757 85123044624 92216631676 138324947514 184433263352 276649895028 368866526704 553299790056 1106599580112