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21132300200 = 23521169113901
BaseRepresentation
bin10011101011100101…
…010100111110101000
32000112202011002010012
4103223211110332220
5321234332101300
613412534311052
71345451405444
oct235345247650
960482132105
1021132300200
118a646a5a10
1241191b8488
131cba15755b
141046831824
1583a382435
hex4eb954fa8

21132300200 has 96 divisors (see below), whose sum is σ = 53680626720. Its totient is φ = 7672800000.

The previous prime is 21132300199. The next prime is 21132300247. The reversal of 21132300200 is 200323112.

It is a happy number.

It is a super-2 number, since 2×211323002002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1513250 + ... + 1527150.

It is an arithmetic number, because the mean of its divisors is an integer number (559173195).

Almost surely, 221132300200 is an apocalyptic number.

21132300200 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 21132300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26840313360).

21132300200 is an abundant number, since it is smaller than the sum of its proper divisors (32548326520).

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

21132300200 is a wasteful number, since it uses less digits than its factorization.

21132300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14619 (or 14610 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21132300200 its reverse (200323112), we get a palindrome (21332623312).

The spelling of 21132300200 in words is "twenty-one billion, one hundred thirty-two million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 691 1100 1382 2200 2764 3455 5528 6910 7601 13820 13901 15202 17275 27640 27802 30404 34550 38005 55604 60808 69100 69505 76010 111208 138200 139010 152020 152911 190025 278020 304040 305822 347525 380050 556040 611644 695050 760100 764555 1223288 1390100 1520200 1529110 2780200 3058220 3822775 6116440 7645550 9605591 15291100 19211182 30582200 38422364 48027955 76844728 96055910 105661501 192111820 211323002 240139775 384223640 422646004 480279550 528307505 845292008 960559100 1056615010 1921118200 2113230020 2641537525 4226460040 5283075050 10566150100 21132300200