Search a number
-
+
2120211111020 = 2254317211432517
BaseRepresentation
bin11110110110100110011…
…011100001110001101100
321111200122011021000100012
4132312212123201301230
5234214143021023040
64302002254152352
7306115544042342
oct36664633416154
97450564230305
102120211111020
117481a3997822
122a2ab24b26b8
13124c203c61b2
1474893c6b992
153a241784865
hex1eda66e1c6c

2120211111020 has 48 divisors (see below), whose sum is σ = 4558639000608. Its totient is φ = 827879646720.

The previous prime is 2120211111019. The next prime is 2120211111181. The reversal of 2120211111020 is 201111120212.

It is a junction number, because it is equal to n+sod(n) for n = 2120211110986 and 2120211111004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763802 + ... + 2196318.

It is an arithmetic number, because the mean of its divisors is an integer number (94971645846).

Almost surely, 22120211111020 is an apocalyptic number.

2120211111020 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 2120211111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279319500304).

2120211111020 is an abundant number, since it is smaller than the sum of its proper divisors (2438427889588).

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

2120211111020 is a wasteful number, since it uses less digits than its factorization.

2120211111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434290 (or 1434288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2120211111020 its reverse (201111120212), we get a palindrome (2321322231232).

The spelling of 2120211111020 in words is "two trillion, one hundred twenty billion, two hundred eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1721 3442 6884 8605 17210 34420 74003 148006 296012 370015 740030 1432517 1480060 2865034 5730068 7162585 14325170 28650340 61598231 123196462 246392924 307991155 615982310 1231964620 2465361757 4930723514 9861447028 12326808785 24653617570 49307235140 106010555551 212021111102 424042222204 530052777755 1060105555510 2120211111020