Search a number
-
+
20103410140000 = 255411731379137
BaseRepresentation
bin1001001001000101100001…
…00111101100001101100000
32122011212102012212220112221
410210202300213230031200
510113333240443440000
6110431213520200424
74143265146506335
oct444426047541540
978155365786487
1020103410140000
116450898a24860
122308213469114
13b2a9884597a5
144d702016898c
1524ce0867c61a
hex1248b09ec360

20103410140000 has 480 divisors, whose sum is σ = 55097867363616. Its totient is φ = 7156776960000.

The previous prime is 20103410139991. The next prime is 20103410140003. The reversal of 20103410140000 is 4101430102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20103410140003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2200215432 + ... + 2200224568.

Almost surely, 220103410140000 is an apocalyptic number.

20103410140000 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 20103410140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27548933681808).

20103410140000 is an abundant number, since it is smaller than the sum of its proper divisors (34994457223616).

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

20103410140000 is a wasteful number, since it uses less digits than its factorization.

20103410140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20103410140000 its reverse (4101430102), we get a palindrome (20107511570102).

The spelling of 20103410140000 in words is "twenty trillion, one hundred three billion, four hundred ten million, one hundred forty thousand".