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11317118352 = 24319232112557
BaseRepresentation
bin10101000101000110…
…11000010110010000
31002012201011011211120
422202203120112100
5141134140241402
65110553042240
7550306630101
oct124243302620
932181134746
1011317118352
114888244581
12223a0b6380
1310b483a047
1479505c3a8
154638303bc
hex2a28d8590

11317118352 has 160 divisors (see below), whose sum is σ = 32277457920. Its totient is φ = 3400911360.

The previous prime is 11317118321. The next prime is 11317118353. The reversal of 11317118352 is 25381171311.

It is not an unprimeable number, because it can be changed into a prime (11317118353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4424658 + ... + 4427214.

It is an arithmetic number, because the mean of its divisors is an integer number (201734112).

Almost surely, 211317118352 is an apocalyptic number.

11317118352 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 11317118352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16138728960).

11317118352 is an abundant number, since it is smaller than the sum of its proper divisors (20960339568).

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

11317118352 is a wasteful number, since it uses less digits than its factorization.

11317118352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2815 counting only the distinct ones).

The product of its digits is 5040, while the sum is 33.

Adding to 11317118352 its reverse (25381171311), we get a palindrome (36698289663).

The spelling of 11317118352 in words is "eleven billion, three hundred seventeen million, one hundred eighteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 211 228 276 304 368 422 437 456 552 633 844 874 912 1104 1266 1311 1688 1748 2532 2557 2622 3376 3496 4009 4853 5064 5114 5244 6992 7671 8018 9706 10128 10228 10488 12027 14559 15342 16036 19412 20456 20976 24054 29118 30684 32072 38824 40912 48108 48583 58236 58811 61368 64144 77648 92207 96216 97166 116472 117622 122736 145749 176433 184414 192432 194332 232944 235244 276621 291498 352866 368828 388664 470488 539527 553242 582996 705732 737656 777328 940976 1079054 1106484 1117409 1165992 1411464 1475312 1618581 2158108 2212968 2234818 2331984 2822928 3237162 3352227 4316216 4425936 4469636 6474324 6704454 8632432 8939272 10251013 12409121 12948648 13408908 17878544 20502026 24818242 25897296 26817816 30753039 37227363 41004052 49636484 53635632 61506078 74454726 82008104 99272968 123012156 148909452 164016208 198545936 235773299 246024312 297818904 471546598 492048624 595637808 707319897 943093196 1414639794 1886186392 2829279588 3772372784 5658559176 11317118352