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1130221312 = 2811331107
BaseRepresentation
bin100001101011101…
…1100111100000000
32220202201012011121
41003113130330000
54303314040222
6304052322024
740002502603
oct10327347400
92822635147
101130221312
1152aa87000
12276613314
1315020260c
14aa16833a
15693555c7
hex435dcf00

1130221312 has 144 divisors (see below), whose sum is σ = 2585447424. Its totient is φ = 492518400.

The previous prime is 1130221303. The next prime is 1130221373. The reversal of 1130221312 is 2131220311.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10562763 + ... + 10562869.

It is an arithmetic number, because the mean of its divisors is an integer number (17954496).

Almost surely, 21130221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292723712).

1130221312 is an abundant number, since it is smaller than the sum of its proper divisors (1455226112).

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

1130221312 is an equidigital number, since it uses as much as digits as its factorization.

1130221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1130221312 is about 33618.7642842505. The cubic root of 1130221312 is about 1041.6484311716.

Adding to 1130221312 its reverse (2131220311), we get a palindrome (3261441623).

The spelling of 1130221312 in words is "one billion, one hundred thirty million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 107 121 124 128 176 214 242 248 256 341 352 428 484 496 682 704 856 968 992 1177 1331 1364 1408 1712 1936 1984 2354 2662 2728 2816 3317 3424 3751 3872 3968 4708 5324 5456 6634 6848 7502 7744 7936 9416 10648 10912 12947 13268 13696 15004 15488 18832 21296 21824 25894 26536 27392 30008 30976 36487 37664 41261 42592 43648 51788 53072 60016 72974 75328 82522 85184 87296 103576 106144 120032 142417 145948 150656 165044 170368 207152 212288 240064 284834 291896 301312 330088 340736 401357 414304 424576 480128 569668 583792 660176 802714 828608 849152 960256 1139336 1167584 1320352 1605428 1657216 2278672 2335168 2640704 3210856 3314432 4414927 4557344 4670336 5281408 6421712 8829854 9114688 9340672 10562816 12843424 17659708 18229376 25686848 35319416 36458752 51373696 70638832 102747392 141277664 282555328 565110656 1130221312