Search a number
-
+
211001200210020 = 223511319698788197
BaseRepresentation
bin101111111110011110001011…
…100101011111000001100100
31000200002111222102200201111210
4233332132023211133001210
5210124020424223210040
62024432340241431420
762305222304232543
oct5776361345370144
91020074872621453
10211001200210020
1161260119801870
121b7b954303b570
13909743524bb7c
143a1672674215a
15195d95acc6480
hexbfe78b95f064

211001200210020 has 48 divisors (see below), whose sum is σ = 644512757007168. Its totient is φ = 51151806111360.

The previous prime is 211001200209991. The next prime is 211001200210027. The reversal of 211001200210020 is 20012002100112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211001200209978 and 211001200210005.

It is not an unprimeable number, because it can be changed into a prime (211001200210027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159849393439 + ... + 159849394758.

It is an arithmetic number, because the mean of its divisors is an integer number (13427349104316).

Almost surely, 2211001200210020 is an apocalyptic number.

211001200210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001200210020 is an abundant number, since it is smaller than the sum of its proper divisors (433511556797148).

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

211001200210020 is a wasteful number, since it uses less digits than its factorization.

211001200210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319698788220 (or 319698788218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211001200210020 its reverse (20012002100112), we get a palindrome (231013202310132).

The spelling of 211001200210020 in words is "two hundred eleven trillion, one billion, two hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 319698788197 639397576394 959096364591 1278795152788 1598493940985 1918192729182 3196987881970 3516686670167 3836385458364 4795481822955 6393975763940 7033373340334 9590963645910 10550060010501 14066746680668 17583433350835 19181927291820 21100120021002 35166866701670 42200240042004 52750300052505 70333733403340 105500600105010 211001200210020