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21411132130000 = 24545087420899
BaseRepresentation
bin1001101111001001010101…
…11011001100001011010000
32210210212212121112002122201
410313210222323030023100
510301244444311130000
6113312045513012544
74336621546146304
oct467445273141320
983725777462581
1021411132130000
11690545699a368
1224997549b4154
13bc40a42c8382
145404390cdd04
15271e4548496a
hex13792aecc2d0

21411132130000 has 100 divisors (see below), whose sum is σ = 51848805571200. Its totient is φ = 8562748912000.

The previous prime is 21411132129991. The next prime is 21411132130001. The reversal of 21411132130000 is 3123111412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21411132130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21411132130001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50659551 + ... + 51080449.

It is an arithmetic number, because the mean of its divisors is an integer number (518488055712).

Almost surely, 221411132130000 is an apocalyptic number.

21411132130000 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 21411132130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25924402785600).

21411132130000 is an abundant number, since it is smaller than the sum of its proper divisors (30437673441200).

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

21411132130000 is an equidigital number, since it uses as much as digits as its factorization.

21411132130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426014 (or 425993 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 21411132130000 its reverse (3123111412), we get a palindrome (21414255241412).

The spelling of 21411132130000 in words is "twenty-one trillion, four hundred eleven billion, one hundred thirty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 5087 10000 10174 20348 25435 40696 50870 81392 101740 127175 203480 254350 406960 420899 508700 635875 841798 1017400 1271750 1683596 2034800 2104495 2543500 3179375 3367192 4208990 5087000 6358750 6734384 8417980 10174000 10522475 12717500 16835960 21044950 25435000 33671920 42089900 50870000 52612375 84179800 105224750 168359600 210449500 263061875 420899000 526123750 841798000 1052247500 2104495000 2141113213 4208990000 4282226426 8564452852 10705566065 17128905704 21411132130 34257811408 42822264260 53527830325 85644528520 107055660650 171289057040 214111321300 267639151625 428222642600 535278303250 856445285200 1070556606500 1338195758125 2141113213000 2676391516250 4282226426000 5352783032500 10705566065000 21411132130000