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11302045400 = 2352176015531
BaseRepresentation
bin10101000011010011…
…11000011011011000
31002011122210101122002
422201221320123120
5141121310423100
65105254020132
7550034541452
oct124151703330
932148711562
1011302045400
11487a789a98
122235047648
1310b1690439
147930572d2
154623542d5
hex2a1a786d8

11302045400 has 96 divisors (see below), whose sum is σ = 27874309680. Its totient is φ = 4247040000.

The previous prime is 11302045373. The next prime is 11302045409. The reversal of 11302045400 is 454020311.

It is a super-2 number, since 2×113020454002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302045409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2040635 + ... + 2046165.

Almost surely, 211302045400 is an apocalyptic number.

11302045400 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 11302045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937154840).

11302045400 is an abundant number, since it is smaller than the sum of its proper divisors (16572264280).

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

11302045400 is a wasteful number, since it uses less digits than its factorization.

11302045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6165 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 11302045400 its reverse (454020311), we get a palindrome (11756065711).

The spelling of 11302045400 in words is "eleven billion, three hundred two million, forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 601 680 850 1202 1700 2404 3005 3400 4808 5531 6010 10217 11062 12020 15025 20434 22124 24040 27655 30050 40868 44248 51085 55310 60100 81736 94027 102170 110620 120200 138275 188054 204340 221240 255425 276550 376108 408680 470135 510850 553100 752216 940270 1021700 1106200 1880540 2043400 2350675 3324131 3761080 4701350 6648262 9402700 13296524 16620655 18805400 26593048 33241310 56510227 66482620 83103275 113020454 132965240 166206550 226040908 282551135 332413100 452081816 565102270 664826200 1130204540 1412755675 2260409080 2825511350 5651022700 11302045400