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1106141712 = 243132397417
BaseRepresentation
bin100000111101110…
…0110001000010000
32212002101211011120
41001323212020100
54231133013322
6301432242240
736261022644
oct10173461020
92762354146
101106141712
1151842a705
1226a540380
13148221330
14a6c9ac24
156719aa5c
hex41ee6210

1106141712 has 80 divisors (see below), whose sum is σ = 3090635520. Its totient is φ = 338881536.

The previous prime is 1106141681. The next prime is 1106141723. The reversal of 1106141712 is 2171416011.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 145428 + ... + 152844.

It is an arithmetic number, because the mean of its divisors is an integer number (38632944).

Almost surely, 21106141712 is an apocalyptic number.

1106141712 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 1106141712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545317760).

1106141712 is an abundant number, since it is smaller than the sum of its proper divisors (1984493808).

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

1106141712 is a wasteful number, since it uses less digits than its factorization.

1106141712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1106141712 is about 33258.7088143842. The cubic root of 1106141712 is about 1034.1977530827.

Adding to 1106141712 its reverse (2171416011), we get a palindrome (3277557723).

The spelling of 1106141712 in words is "one billion, one hundred six million, one hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 239 312 478 624 717 956 1434 1912 2868 3107 3824 5736 6214 7417 9321 11472 12428 14834 18642 22251 24856 29668 37284 44502 49712 59336 74568 89004 96421 118672 149136 178008 192842 289263 356016 385684 578526 771368 1157052 1542736 1772663 2314104 3545326 4628208 5317989 7090652 10635978 14181304 21271956 23044619 28362608 42543912 46089238 69133857 85087824 92178476 138267714 184356952 276535428 368713904 553070856 1106141712