Search a number
-
+
20010411421000 = 23537112131817311
BaseRepresentation
bin1001000110011000010010…
…11101101110110101001000
32121211222100222101111021221
410203030021131232311020
510110322310310433000
6110320353415011424
74133463435443650
oct443141135566510
977758328344257
1020010411421000
116415405638800
1222b219a369b74
13b21c872b1090
144d271acb9360
1524a7b3e1161a
hex12330976ed48

20010411421000 has 384 divisors, whose sum is σ = 63345390151680. Its totient is φ = 5757238080000.

The previous prime is 20010411420973. The next prime is 20010411421009. The reversal of 20010411421000 is 12411401002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20010411421009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10102345 + ... + 11919655.

It is an arithmetic number, because the mean of its divisors is an integer number (164961953520).

Almost surely, 220010411421000 is an apocalyptic number.

20010411421000 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 20010411421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31672695075840).

20010411421000 is an abundant number, since it is smaller than the sum of its proper divisors (43334978730680).

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

20010411421000 is a wasteful number, since it uses less digits than its factorization.

20010411421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817374 (or 1817349 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20010411421000 its reverse (12411401002), we get a palindrome (20022822822002).

The spelling of 20010411421000 in words is "twenty trillion, ten billion, four hundred eleven million, four hundred twenty-one thousand".