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1100140002 = 2331323611117
BaseRepresentation
bin100000110010010…
…1100110111100010
32211200002220101000
41001210230313202
54223113440002
6301055452430
736156015153
oct10144546742
92750086330
101100140002
11515000515
12268527116
13146bcc620
14a617792a
15668b261c
hex4192cde2

1100140002 has 128 divisors (see below), whose sum is σ = 2794821120. Its totient is φ = 318193920.

The previous prime is 1100139973. The next prime is 1100140007. The reversal of 1100140002 is 2000410011.

It is a happy number.

1100140002 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1100140007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 984348 + ... + 985464.

It is an arithmetic number, because the mean of its divisors is an integer number (21834540).

Almost surely, 21100140002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100140002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397410560).

1100140002 is an abundant number, since it is smaller than the sum of its proper divisors (1694681118).

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

1100140002 is a wasteful number, since it uses less digits than its factorization.

1100140002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1100140002 is about 33168.3584459647. The cubic root of 1100140002 is about 1032.3239079260.

Adding to 1100140002 its reverse (2000410011), we get a palindrome (3100550013).

The spelling of 1100140002 in words is "one billion, one hundred million, one hundred forty thousand, two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 61 69 78 117 122 138 183 207 234 299 351 366 414 549 598 621 702 793 897 1098 1117 1242 1403 1586 1647 1794 2234 2379 2691 2806 3294 3351 4209 4758 5382 6702 7137 8073 8418 10053 12627 14274 14521 16146 18239 20106 21411 25254 25691 29042 30159 36478 37881 42822 43563 51382 54717 60318 68137 75762 77073 87126 109434 130689 136274 154146 164151 204411 231219 261378 328302 333983 392067 408822 462438 492453 613233 667966 693657 784134 885781 984906 1001949 1226466 1387314 1567151 1771562 1839699 2003898 2657343 3005847 3134302 3679398 4701453 5314686 6011694 7972029 9017541 9402906 14104359 15944058 18035082 20372963 23916087 28208718 40745926 42313077 47832174 61118889 84626154 122237778 183356667 366713334 550070001 1100140002