Search a number
-
+
1000211000000 = 26561000211
BaseRepresentation
bin11101000111000010011…
…10001010101011000000
310112121201102110100001212
432203201032022223000
5112341413004000000
62043253544545252
7132156106136252
oct16434116125300
93477642410055
101000211000000
11356207041363
12141a20782228
137341cc04904
14365a648dcd2
151b040044c35
hexe8e138aac0

1000211000000 has 98 divisors (see below), whose sum is σ = 2480962852644. Its totient is φ = 400084000000.

The previous prime is 1000210999999. The next prime is 1000211000011. The reversal of 1000211000000 is 1120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 499895 + ... + 1500105.

Almost surely, 21000211000000 is an apocalyptic number.

1000211000000 is a gapful number since it is divisible by the number (10) 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 1000211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240481426322).

1000211000000 is an abundant number, since it is smaller than the sum of its proper divisors (1480751852644).

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

1000211000000 is an frugal number, since it uses more digits than its factorization.

1000211000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000253 (or 1000218 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1000211000000 its reverse (1120001), we get a palindrome (1000212120001).

The spelling of 1000211000000 in words is "one trillion, two hundred eleven million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 1000211 2000422 4000844 5001055 8001688 10002110 16003376 20004220 25005275 32006752 40008440 50010550 64013504 80016880 100021100 125026375 160033760 200042200 250052750 320067520 400084400 500105500 625131875 800168800 1000211000 1250263750 1600337600 2000422000 2500527500 3125659375 4000844000 5001055000 6251318750 8001688000 10002110000 12502637500 15628296875 20004220000 25005275000 31256593750 40008440000 50010550000 62513187500 100021100000 125026375000 200042200000 250052750000 500105500000 1000211000000