Search a number
-
+
211000120000 = 265410395077
BaseRepresentation
bin1100010010000010010…
…1100101001011000000
3202011121221221200100021
43010200211211023000
511424112012320000
6240533200503224
721146531266465
oct3044045451300
9664557850307
10211000120000
118153708116a
1234a8761ab14
1316b88289317
14a2d8dc366c
15574e03911a
hex31209652c0

211000120000 has 140 divisors (see below), whose sum is σ = 523818449440. Its totient is φ = 84302208000.

The previous prime is 211000119983. The next prime is 211000120057. The reversal of 211000120000 is 21000112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41557462 + ... + 41562538.

Almost surely, 2211000120000 is an apocalyptic number.

211000120000 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 211000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261909224720).

211000120000 is an abundant number, since it is smaller than the sum of its proper divisors (312818329440).

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

211000120000 is an equidigital number, since it uses as much as digits as its factorization.

211000120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 211000120000 its reverse (21000112), we get a palindrome (211021120112).

The spelling of 211000120000 in words is "two hundred eleven billion, one hundred twenty thousand".

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 1039 1250 1600 2000 2078 2500 4000 4156 5000 5077 5195 8000 8312 10000 10154 10390 16624 20000 20308 20780 25385 25975 33248 40000 40616 41560 50770 51950 66496 81232 83120 101540 103900 126925 129875 162464 166240 203080 207800 253850 259750 324928 332480 406160 415600 507700 519500 634625 649375 812320 831200 1015400 1039000 1269250 1298750 1624640 1662400 2030800 2078000 2538500 2597500 3173125 4061600 4156000 5077000 5195000 5275003 6346250 8123200 8312000 10154000 10390000 10550006 12692500 20308000 20780000 21100012 25385000 26375015 40616000 41560000 42200024 50770000 52750030 84400048 101540000 105500060 131875075 168800096 203080000 211000120 263750150 337600192 422000240 527500300 659375375 844000480 1055000600 1318750750 1688000960 2110001200 2637501500 3296876875 4220002400 5275003000 6593753750 8440004800 10550006000 13187507500 21100012000 26375015000 42200024000 52750030000 105500060000 211000120000