Search a number
-
+
20401371130000 = 245471699171541
BaseRepresentation
bin1001010001110000100000…
…11110101010100010010000
32200020100111122001111102011
410220320100132222202100
510133224002002130000
6111220132134232304
74203643665234310
oct450702036524220
980210448044364
1020401371130000
11655619a15a723
122355b09ab5694
13b4cac1a02cb3
14507608579440
15255a46d202ba
hex128e107aa890

20401371130000 has 200 divisors, whose sum is σ = 56483565723200. Its totient is φ = 6990598080000.

The previous prime is 20401371129973. The next prime is 20401371130067. The reversal of 20401371130000 is 3117310402.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118844230 + ... + 119015770.

It is an arithmetic number, because the mean of its divisors is an integer number (282417828616).

Almost surely, 220401371130000 is an apocalyptic number.

20401371130000 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 20401371130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28241782861600).

20401371130000 is an abundant number, since it is smaller than the sum of its proper divisors (36082194593200).

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

20401371130000 is a wasteful number, since it uses less digits than its factorization.

20401371130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173275 (or 173254 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 20401371130000 its reverse (3117310402), we get a palindrome (20404488440402).

The spelling of 20401371130000 in words is "twenty trillion, four hundred one billion, three hundred seventy-one million, one hundred thirty thousand".