Search a number
-
+
20001211010020 = 2252934484846569
BaseRepresentation
bin1001000110000111001010…
…00100111100101111100100
32121211002121210012012002201
410203003211010330233210
510110144440004310040
6110312232434144244
74133016440314222
oct443034504745744
977732553165081
1020001211010020
116411514203869
1222b0451122084
13b2114c161706
144d20c7015b12
1524a426348a9a
hex1230e513cbe4

20001211010020 has 24 divisors (see below), whose sum is σ = 43450906678200. Its totient is φ = 7724605631232.

The previous prime is 20001211010003. The next prime is 20001211010029. The reversal of 20001211010020 is 2001011210002.

It can be written as a sum of positive squares in 4 ways, for example, as 10010802916 + 19991200207104 = 100054^2 + 4471152^2 .

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 = 20001211009979 and 20001211010006.

It is not an unprimeable number, because it can be changed into a prime (20001211010029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17242422705 + ... + 17242423864.

It is an arithmetic number, because the mean of its divisors is an integer number (1810454444925).

Almost surely, 220001211010020 is an apocalyptic number.

20001211010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001211010020 is an abundant number, since it is smaller than the sum of its proper divisors (23449695668180).

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

20001211010020 is a wasteful number, since it uses less digits than its factorization.

20001211010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34484846607 (or 34484846605 counting only the distinct ones).

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

Adding to 20001211010020 its reverse (2001011210002), we get a palindrome (22002222220022).

The spelling of 20001211010020 in words is "twenty trillion, one billion, two hundred eleven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 34484846569 68969693138 137939386276 172424232845 344848465690 689696931380 1000060550501 2000121101002 4000242202004 5000302752505 10000605505010 20001211010020