Search a number
-
+
20001010011220 = 2257717611171
BaseRepresentation
bin1001000110000110110010…
…00110001100110001010100
32121211002002202222101120201
410203003121012030301110
510110144032030324340
6110312200454110244
74133011450000000
oct443033106146124
977732082871521
1020001010011220
1164114207a9457
1222b03b594b384
13b21119617904
144d20a8453700
1524a41389379a
hex1230d918cc54

20001010011220 has 384 divisors, whose sum is σ = 52780571827200. Its totient is φ = 6342881126400.

The previous prime is 20001010011211. The next prime is 20001010011239. The reversal of 20001010011220 is 2211001010002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20001010011197 and 20001010011206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17080281235 + ... + 17080282405.

It is an arithmetic number, because the mean of its divisors is an integer number (137449405800).

Almost surely, 220001010011220 is an apocalyptic number.

20001010011220 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 20001010011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26390285913600).

20001010011220 is an abundant number, since it is smaller than the sum of its proper divisors (32779561815980).

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

20001010011220 is an frugal number, since it uses more digits than its factorization.

20001010011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20001010011220 its reverse (2211001010002), we get a palindrome (22212011021222).

The spelling of 20001010011220 in words is "twenty trillion, one billion, ten million, eleven thousand, two hundred twenty".