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1102110012 = 2232414491663
BaseRepresentation
bin100000110110000…
…1101110100111100
32211210210222201100
41001230031310330
54224120010022
6301210013100
736211531503
oct10154156474
92753728640
101102110012
11516126623
12269117190
1314743c203
14a652b83a
1566b511ac
hex41b0dd3c

1102110012 has 72 divisors (see below), whose sum is σ = 2861913600. Its totient is φ = 357396480.

The previous prime is 1102110007. The next prime is 1102110041. The reversal of 1102110012 is 2100112011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1102109976 and 1102110003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661893 + ... + 663555.

It is an arithmetic number, because the mean of its divisors is an integer number (39748800).

Almost surely, 21102110012 is an apocalyptic number.

1102110012 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 1102110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430956800).

1102110012 is an abundant number, since it is smaller than the sum of its proper divisors (1759803588).

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

1102110012 is a wasteful number, since it uses less digits than its factorization.

1102110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1102110012 is about 33198.0422916774. The cubic root of 1102110012 is about 1032.9397312825.

Adding to 1102110012 its reverse (2100112011), we get a palindrome (3202222023).

The spelling of 1102110012 in words is "one billion, one hundred two million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 449 492 738 898 1347 1476 1663 1796 2694 3326 4041 4989 5388 6652 8082 9978 14967 16164 18409 19956 29934 36818 55227 59868 68183 73636 110454 136366 165681 204549 220908 272732 331362 409098 613647 662724 746687 818196 1227294 1493374 2240061 2454588 2986748 4480122 6720183 8960244 13440366 26880732 30614167 61228334 91842501 122456668 183685002 275527503 367370004 551055006 1102110012