Search a number
-
+
20000211120120 = 233572114143175393
BaseRepresentation
bin1001000110000101010010…
…11110101010111111111000
32121211000001002201112000110
410203002221132222333320
510110140413021320440
6110311545315104320
74132652606352300
oct443025136527770
977730032645013
1020000211120120
116411050855780
1222b02122a20a0
13b2101cc6269a
144d20302d6600
1524a3b868a080
hex1230a97aaff8

20000211120120 has 768 divisors, whose sum is σ = 79813306298880. Its totient is φ = 3960211046400.

The previous prime is 20000211120107. The next prime is 20000211120157. The reversal of 20000211120120 is 2102111200002.

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 = 20000211120096 and 20000211120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113943144 + ... + 114118536.

It is an arithmetic number, because the mean of its divisors is an integer number (103923575910).

Almost surely, 220000211120120 is an apocalyptic number.

20000211120120 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 20000211120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39906653149440).

20000211120120 is an abundant number, since it is smaller than the sum of its proper divisors (59813095178760).

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

20000211120120 is a wasteful number, since it uses less digits than its factorization.

20000211120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175516 (or 175505 counting only the distinct ones).

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

Adding to 20000211120120 its reverse (2102111200002), we get a palindrome (22102322320122).

The spelling of 20000211120120 in words is "twenty trillion, two hundred eleven million, one hundred twenty thousand, one hundred twenty".