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21131112300 = 22352717511321
BaseRepresentation
bin10011101011100000…
…110010111101101100
32000112122220201121220
4103223200302331230
5321234031043200
613412453023340
71345435330254
oct235340627554
960478821556
1021131112300
118a63a64481
124118924b50
131cb9b2c95c
141046602964
1583a1ea4a0
hex4eb832f6c

21131112300 has 144 divisors (see below), whose sum is σ = 62130023424. Its totient is φ = 5544000000.

The previous prime is 21131112287. The next prime is 21131112307. The reversal of 21131112300 is 321113112.

It is a happy number.

It is a super-2 number, since 2×211311123002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21131112300.

It is not an unprimeable number, because it can be changed into a prime (21131112307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15995640 + ... + 15996960.

It is an arithmetic number, because the mean of its divisors is an integer number (431458496).

Almost surely, 221131112300 is an apocalyptic number.

21131112300 is a gapful number since it is divisible by the number (20) 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 21131112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31065011712).

21131112300 is an abundant number, since it is smaller than the sum of its proper divisors (40998911124).

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

21131112300 is a wasteful number, since it uses less digits than its factorization.

21131112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2153 counting only the distinct ones).

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

Adding to 21131112300 its reverse (321113112), we get a palindrome (21452225412).

The spelling of 21131112300 in words is "twenty-one billion, one hundred thirty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 751 852 1065 1321 1420 1502 1775 2130 2253 2642 3004 3550 3755 3963 4260 4506 5284 5325 6605 7100 7510 7926 9012 10650 11265 13210 15020 15852 18775 19815 21300 22530 26420 33025 37550 39630 45060 53321 56325 66050 75100 79260 93791 99075 106642 112650 132100 159963 187582 198150 213284 225300 266605 281373 319926 375164 396300 468955 533210 562746 639852 799815 937910 992071 1066420 1125492 1333025 1406865 1599630 1875820 1984142 2344775 2666050 2813730 2976213 3199260 3968284 3999075 4689550 4960355 5332100 5627460 5952426 7034325 7998150 9379100 9920710 11904852 14068650 14881065 15996300 19841420 24801775 28137300 29762130 49603550 59524260 70437041 74405325 99207100 140874082 148810650 211311123 281748164 297621300 352185205 422622246 704370410 845244492 1056555615 1408740820 1760926025 2113111230 3521852050 4226222460 5282778075 7043704100 10565556150 21131112300