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1132213110 = 235723832011
BaseRepresentation
bin100001101111100…
…0011001101110110
32220220110101101220
41003133003031312
54304321304420
6304203131210
740025436600
oct10337031566
92826411356
101132213110
11531117516
12277213b06
1315074c0b2
14aa526170
15695ea840
hex437c3376

1132213110 has 96 divisors (see below), whose sum is σ = 3170783232. Its totient is φ = 257987520.

The previous prime is 1132213081. The next prime is 1132213153. The reversal of 1132213110 is 113122311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1132213110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562005 + ... + 564015.

It is an arithmetic number, because the mean of its divisors is an integer number (33028992).

Almost surely, 21132213110 is an apocalyptic number.

1132213110 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 1132213110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585391616).

1132213110 is an abundant number, since it is smaller than the sum of its proper divisors (2038570122).

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

1132213110 is a wasteful number, since it uses less digits than its factorization.

1132213110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1132213110 is about 33648.3745521236. The cubic root of 1132213110 is about 1042.2599738394.

Adding to 1132213110 its reverse (113122311), we get a palindrome (1245335421).

The spelling of 1132213110 in words is "one billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 383 490 735 766 1149 1470 1915 2011 2298 2681 3830 4022 5362 5745 6033 8043 10055 11490 12066 13405 14077 16086 18767 20110 26810 28154 30165 37534 40215 42231 56301 60330 70385 80430 84462 93835 98539 112602 140770 187670 197078 211155 281505 295617 422310 492695 563010 591234 770213 985390 1478085 1540426 2310639 2956170 3851065 4621278 5391491 7702130 10782982 11553195 16174473 23106390 26957455 32348946 37740437 53914910 75480874 80872365 113221311 161744730 188702185 226442622 377404370 566106555 1132213110