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1106137110 = 2351321072039
BaseRepresentation
bin100000111101110…
…0101000000010110
32212002101120212010
41001323211000112
54231132341420
6301432205050
736261003351
oct10173450026
92762346763
101106137110
11518427201
1226a539786
1314821c200
14a6c99298
15671994e0
hex41ee5016

1106137110 has 96 divisors (see below), whose sum is σ = 2902936320. Its totient is φ = 269602944.

The previous prime is 1106137051. The next prime is 1106137127. The reversal of 1106137110 is 117316011.

It is a super-2 number, since 2×11061371102 = 2447078612238304200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541471 + ... + 543509.

It is an arithmetic number, because the mean of its divisors is an integer number (30238920).

Almost surely, 21106137110 is an apocalyptic number.

1106137110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106137110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451468160).

1106137110 is an abundant number, since it is smaller than the sum of its proper divisors (1796799210).

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

1106137110 is a wasteful number, since it uses less digits than its factorization.

1106137110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 1106137110 is about 33258.6396294256. The cubic root of 1106137110 is about 1034.1963188527.

The spelling of 1106137110 in words is "one billion, one hundred six million, one hundred thirty-seven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 169 195 214 321 338 390 507 535 642 845 1014 1070 1391 1605 1690 2039 2535 2782 3210 4078 4173 5070 6117 6955 8346 10195 12234 13910 18083 20390 20865 26507 30585 36166 41730 53014 54249 61170 79521 90415 108498 132535 159042 180830 218173 265070 271245 344591 397605 436346 542490 654519 689182 795210 1033773 1090865 1309038 1722955 2067546 2181730 2836249 3272595 3445910 5168865 5672498 6545190 8508747 10337730 14181245 17017494 28362490 36871237 42543735 73742474 85087470 110613711 184356185 221227422 368712370 553068555 1106137110