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11301302100 = 22352114996863
BaseRepresentation
bin10101000011001110…
…00010111101010100
31002011121101122000110
422201213002331110
5141121113131400
65105230043020
7550025324424
oct124147027524
932147348013
1011301302100
11487a3215a0
122234949470
1310b149000a
14792d02484
15462258e50
hex2a19c2f54

11301302100 has 144 divisors (see below), whose sum is σ = 35747712000. Its totient is φ = 2733820800.

The previous prime is 11301302071. The next prime is 11301302107. The reversal of 11301302100 is 120310311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301302107) 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, 1643269 + ... + 1650131.

It is an arithmetic number, because the mean of its divisors is an integer number (248248000).

Almost surely, 211301302100 is an apocalyptic number.

11301302100 is a gapful number since it is divisible by the number (10) 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 11301302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856000).

11301302100 is an abundant number, since it is smaller than the sum of its proper divisors (24446409900).

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

11301302100 is a wasteful number, since it uses less digits than its factorization.

11301302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7390 (or 7383 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11301302100 its reverse (120310311), we get a palindrome (11421612411).

The spelling of 11301302100 in words is "eleven billion, three hundred one million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 499 550 660 825 998 1100 1497 1650 1996 2495 2994 3300 4990 5489 5988 6863 7485 9980 10978 12475 13726 14970 16467 20589 21956 24950 27445 27452 29940 32934 34315 37425 41178 49900 54890 65868 68630 74850 75493 82335 82356 102945 109780 137225 137260 149700 150986 164670 171575 205890 226479 274450 301972 329340 343150 377465 411675 411780 452958 514725 548900 686300 754930 823350 905916 1029450 1132395 1509860 1646700 1887325 2058900 2264790 3424637 3774650 4529580 5661975 6849274 7549300 10273911 11323950 13698548 17123185 20547822 22647900 34246370 37671007 41095644 51369555 68492740 75342014 85615925 102739110 113013021 150684028 171231850 188355035 205478220 226026042 256847775 342463700 376710070 452052084 513695550 565065105 753420140 941775175 1027391100 1130130210 1883550350 2260260420 2825325525 3767100700 5650651050 11301302100