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1102140012 = 223293479127
BaseRepresentation
bin100000110110001…
…0101001001101100
32211210212111212110
41001230111021230
54224121440022
6301210404020
736212015121
oct10154251154
92753774773
101102140012
11516147116
12269130610
1314744ca6c
14a6538748
1566b5a00c
hex41b1526c

1102140012 has 48 divisors (see below), whose sum is σ = 2668296960. Its totient is φ = 353650752.

The previous prime is 1102139999. The next prime is 1102140019. The reversal of 1102140012 is 2100412011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1102140012.

It is not an unprimeable number, because it can be changed into a prime (1102140019) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 116193 + ... + 125319.

It is an arithmetic number, because the mean of its divisors is an integer number (55589520).

Almost surely, 21102140012 is an apocalyptic number.

1102140012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102140012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334148480).

1102140012 is an abundant number, since it is smaller than the sum of its proper divisors (1566156948).

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

1102140012 is a wasteful number, since it uses less digits than its factorization.

1102140012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1102140012 is about 33198.4941224749. The cubic root of 1102140012 is about 1032.9491035807.

Adding to 1102140012 its reverse (2100412011), we get a palindrome (3202552023).

The spelling of 1102140012 in words is "one billion, one hundred two million, one hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 347 348 694 1041 1388 2082 4164 9127 10063 18254 20126 27381 30189 36508 40252 54762 60378 109524 120756 264683 529366 794049 1058732 1588098 3167069 3176196 6334138 9501207 12668276 19002414 38004828 91845001 183690002 275535003 367380004 551070006 1102140012