Search a number
-
+
20011000110000 = 243541275252231
BaseRepresentation
bin1001000110011001011001…
…00011011001101110110000
32121212000220000002222210020
410203030230203121232300
510110330012012010000
6110320532044403440
74133514144303264
oct443145443315660
977760800088706
1020011000110000
116415687970539
1222b2323546580
13b2204c249473
144d277515a0a4
1524a7ea947ba0
hex12332c8d9bb0

20011000110000 has 200 divisors, whose sum is σ = 65106835943424. Its totient is φ = 5294247840000.

The previous prime is 20011000109999. The next prime is 20011000110029. The reversal of 20011000110000 is 1100011002.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1183885 + ... + 6436115.

Almost surely, 220011000110000 is an apocalyptic number.

20011000110000 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 20011000110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32553417971712).

20011000110000 is an abundant number, since it is smaller than the sum of its proper divisors (45095835833424).

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

20011000110000 is a wasteful number, since it uses less digits than its factorization.

20011000110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252389 (or 5252368 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 20011000110000 its reverse (1100011002), we get a palindrome (20012100121002).

The spelling of 20011000110000 in words is "twenty trillion, eleven billion, one hundred ten thousand".