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1112102010 = 2325181233293
BaseRepresentation
bin100001001001001…
…0101010001111010
32212111121122011100
41002102111101322
54234144231020
6302204112230
736362465625
oct10222252172
92774548140
101112102010
11520830778
12270535676
1314952a236
14a79acdbc
1567976a90
hex4249547a

1112102010 has 96 divisors (see below), whose sum is σ = 2929884048. Its totient is φ = 292654080.

The previous prime is 1112102009. The next prime is 1112102083. The reversal of 1112102010 is 102012111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 247212729 + 864889281 = 15723^2 + 29409^2 .

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 = 1112101983 and 1112102001.

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, 3795424 + ... + 3795716.

Almost surely, 21112102010 is an apocalyptic number.

1112102010 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 1112102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464942024).

1112102010 is an abundant number, since it is smaller than the sum of its proper divisors (1817782038).

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

1112102010 is a wasteful number, since it uses less digits than its factorization.

1112102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 717 counting only the distinct ones).

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

The square root of 1112102010 is about 33348.1935042965. The cubic root of 1112102010 is about 1036.0519724924.

Adding to 1112102010 its reverse (102012111), we get a palindrome (1214114121).

The spelling of 1112102010 in words is "one billion, one hundred twelve million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 233 293 362 466 543 586 699 879 905 1086 1165 1398 1465 1629 1758 1810 2097 2330 2637 2715 2930 3258 3495 4194 4395 5274 5430 6990 8145 8790 10485 13185 16290 20970 26370 42173 53033 68269 84346 106066 126519 136538 159099 204807 210865 253038 265165 318198 341345 379557 409614 421730 477297 530330 614421 632595 682690 759114 795495 954594 1024035 1228842 1265190 1590990 1897785 2048070 2386485 3072105 3795570 4772970 6144210 12356689 24713378 37070067 61783445 74140134 111210201 123566890 185350335 222420402 370700670 556051005 1112102010