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1017110052 = 2232721930347
BaseRepresentation
bin111100100111111…
…101111000100100
32121212212112200200
4330213331320210
54040340010202
6244532110500
734130202300
oct7447757044
92555775620
101017110052
1148214a922
12244765430
1313294b08a
1499122d00
155e460e1c
hex3c9fde24

1017110052 has 108 divisors (see below), whose sum is σ = 3148301520. Its totient is φ = 275298912.

The previous prime is 1017110021. The next prime is 1017110063. The reversal of 1017110052 is 2500117101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18343 + ... + 48689.

It is an arithmetic number, because the mean of its divisors is an integer number (29150940).

Almost surely, 21017110052 is an apocalyptic number.

1017110052 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 1017110052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574150760).

1017110052 is an abundant number, since it is smaller than the sum of its proper divisors (2131191468).

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

1017110052 is a wasteful number, since it uses less digits than its factorization.

1017110052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30390 (or 30378 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 1017110052 is about 31892.1628617439. The cubic root of 1017110052 is about 1005.6711281742.

Adding to 1017110052 its reverse (2500117101), we get a palindrome (3517227153).

The spelling of 1017110052 in words is "one billion, seventeen million, one hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2394 2793 3724 4788 5586 8379 11172 16758 30347 33516 60694 91041 121388 182082 212429 273123 364164 424858 546246 576593 637287 849716 1092492 1153186 1274574 1487003 1729779 1911861 2306372 2549148 2974006 3459558 3823722 4036151 4461009 5189337 5948012 6919116 7647444 8072302 8922018 10378674 12108453 13383027 16144604 17844036 20757348 24216906 26766054 28253057 36325359 48433812 53532108 56506114 72650718 84759171 113012228 145301436 169518342 254277513 339036684 508555026 1017110052