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21204130000 = 24543176689
BaseRepresentation
bin10011101111110111…
…010101100011010000
32000201202022102002011
4103233313111203100
5321411224130000
613424022032304
71350313062664
oct235767254320
960652272064
1021204130000
118aa11a6789
124139278694
131ccbcb6bb1
1410521ac8a4
158418202ba
hex4efdd58d0

21204130000 has 100 divisors (see below), whose sum is σ = 51506965620. Its totient is φ = 8453632000.

The previous prime is 21204129959. The next prime is 21204130069. The reversal of 21204130000 is 3140212.

It can be written as a sum of positive squares in 10 ways, for example, as 17809436304 + 3394693696 = 133452^2 + 58264^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3166656 + ... + 3173344.

Almost surely, 221204130000 is an apocalyptic number.

21204130000 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 21204130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25753482810).

21204130000 is an abundant number, since it is smaller than the sum of its proper divisors (30302835620).

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

21204130000 is an equidigital number, since it uses as much as digits as its factorization.

21204130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7013 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 21204130000 its reverse (3140212), we get a palindrome (21207270212).

The spelling of 21204130000 in words is "twenty-one billion, two hundred four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 317 400 500 625 634 1000 1250 1268 1585 2000 2500 2536 3170 5000 5072 6340 6689 7925 10000 12680 13378 15850 25360 26756 31700 33445 39625 53512 63400 66890 79250 107024 126800 133780 158500 167225 198125 267560 317000 334450 396250 535120 634000 668900 792500 836125 1337800 1585000 1672250 2120413 2675600 3170000 3344500 4180625 4240826 6689000 8361250 8481652 10602065 13378000 16722500 16963304 21204130 33445000 33926608 42408260 53010325 66890000 84816520 106020650 169633040 212041300 265051625 424082600 530103250 848165200 1060206500 1325258125 2120413000 2650516250 4240826000 5301032500 10602065000 21204130000