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1101313122 = 2372131072693
BaseRepresentation
bin100000110100100…
…1011010001100010
32211202022111120220
41001221023101202
54223414004442
6301140543510
736202002300
oct10151132142
92752274526
101101313122
11515731938
122689b1b96
13147220590
14a63a1270
1566a44eec
hex41a4b462

1101313122 has 96 divisors (see below), whose sum is σ = 2786156352. Its totient is φ = 287634816.

The previous prime is 1101313121. The next prime is 1101313133. The reversal of 1101313122 is 2213131011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1101313121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407608 + ... + 410300.

It is an arithmetic number, because the mean of its divisors is an integer number (29022462).

Almost surely, 21101313122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393078176).

1101313122 is an abundant number, since it is smaller than the sum of its proper divisors (1684843230).

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

1101313122 is a wasteful number, since it uses less digits than its factorization.

1101313122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2825 counting only the distinct ones).

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

The square root of 1101313122 is about 33186.0380581955. The cubic root of 1101313122 is about 1032.6907126408.

Adding to 1101313122 its reverse (2213131011), we get a palindrome (3314444133).

The spelling of 1101313122 in words is "one billion, one hundred one million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 107 147 182 214 273 294 321 546 637 642 749 1274 1391 1498 1911 2247 2693 2782 3822 4173 4494 5243 5386 8079 8346 9737 10486 15729 16158 18851 19474 29211 31458 35009 37702 56553 58422 68159 70018 105027 113106 131957 136318 204477 210054 245063 263914 288151 395871 408954 490126 576302 735189 791742 864453 1470378 1715441 1728906 2017057 3430882 3745963 4034114 5146323 6051171 7491926 10292646 11237889 12102342 14119399 22475778 26221741 28238798 42358197 52443482 78665223 84716394 157330446 183552187 367104374 550656561 1101313122