Search a number
-
+
21100012210020 = 2235351666870167
BaseRepresentation
bin1001100110000101110101…
…01110111000011101100100
32202201010211010111121101110
410303002322232320131210
510231200311111210040
6112513113425225020
74305265654362102
oct463027256703544
982633733447343
1021100012210020
1167a55128a8657
1224493a7492170
13ba0951775773
1452d3631c2c72
15268cd6949980
hex1330babb8764

21100012210020 has 24 divisors (see below), whose sum is σ = 59080034188224. Its totient is φ = 5626669922656.

The previous prime is 21100012210009. The next prime is 21100012210051. The reversal of 21100012210020 is 2001221000112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21100012209978 and 21100012210005.

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 7 ways as a sum of consecutive naturals, for example, 175833435024 + ... + 175833435143.

It is an arithmetic number, because the mean of its divisors is an integer number (2461668091176).

Almost surely, 221100012210020 is an apocalyptic number.

21100012210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100012210020 is an abundant number, since it is smaller than the sum of its proper divisors (37980021978204).

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

21100012210020 is a wasteful number, since it uses less digits than its factorization.

21100012210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351666870179 (or 351666870177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21100012210020 its reverse (2001221000112), we get a palindrome (23101233210132).

The spelling of 21100012210020 in words is "twenty-one trillion, one hundred billion, twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 351666870167 703333740334 1055000610501 1406667480668 1758334350835 2110001221002 3516668701670 4220002442004 5275003052505 7033337403340 10550006105010 21100012210020