Search a number
-
+
21211000010000 = 24544349327907
BaseRepresentation
bin1001101001010100100100…
…00111101111010100010000
32210002202022001122000120222
410310222102013233110100
510240010112000310000
6113040110543052212
74316305232201633
oct464522207572420
983082261560528
1021211000010000
116838597599489
122466a00ba1068
13bab25b7ca7a8
14534891659c1a
1526bb30613a85
hex134a921ef510

21211000010000 has 100 divisors (see below), whose sum is σ = 52548231145872. Its totient is φ = 8287088208000.

The previous prime is 21211000009999. The next prime is 21211000010047. The reversal of 21211000010000 is 1000011212.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 21211000010000.

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, 24233954 + ... + 25093953.

Almost surely, 221211000010000 is an apocalyptic number.

21211000010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211000010000 is an abundant number, since it is smaller than the sum of its proper divisors (31337231135872).

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

21211000010000 is an equidigital number, since it uses as much as digits as its factorization.

21211000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49327978 (or 49327957 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21211000010000 its reverse (1000011212), we get a palindrome (21212000021212).

The spelling of 21211000010000 in words is "twenty-one trillion, two hundred eleven billion, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 3440 4300 5000 5375 8600 10000 10750 17200 21500 26875 43000 53750 86000 107500 215000 430000 49327907 98655814 197311628 246639535 394623256 493279070 789246512 986558140 1233197675 1973116280 2121100001 2466395350 3946232560 4242200002 4932790700 6165988375 8484400004 9865581400 10605500005 12331976750 16968800008 19731162800 21211000010 24663953500 30829941875 33937600016 42422000020 49327907000 53027500025 61659883750 84844000040 98655814000 106055000050 123319767500 169688000080 212110000100 246639535000 265137500125 424220000200 493279070000 530275000250 848440000400 1060550000500 1325687500625 2121100001000 2651375001250 4242200002000 5302750002500 10605500005000 21211000010000