Search a number
-
+
10031321302020 = 223254134910873583
BaseRepresentation
bin1001000111111001100101…
…0101111100010000000100
31022111222121000210020211100
42101332121111330100010
52303323121223131040
633200154141140100
72053511331124524
oct221763125742004
938458530706740
1010031321302020
1132182943a4897
12116017925a630
13579c461a6525
14269738c41684
15125e0ea68b30
hex91f9957c404

10031321302020 has 288 divisors, whose sum is σ = 31297300070400. Its totient is φ = 2599177144320.

The previous prime is 10031321302019. The next prime is 10031321302117. The reversal of 10031321302020 is 2020312313001.

10031321302020 is a `hidden beast` number, since 10 + 0 + 31 + 321 + 302 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10031321301984 and 10031321302002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2799697149 + ... + 2799700731.

It is an arithmetic number, because the mean of its divisors is an integer number (108671180800).

Almost surely, 210031321302020 is an apocalyptic number.

10031321302020 is a gapful number since it is divisible by the number (10) 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 10031321302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15648650035200).

10031321302020 is an abundant number, since it is smaller than the sum of its proper divisors (21265978768380).

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

10031321302020 is a wasteful number, since it uses less digits than its factorization.

10031321302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10031321302020 its reverse (2020312313001), we get a palindrome (12051633615021).

The spelling of 10031321302020 in words is "ten trillion, thirty-one billion, three hundred twenty-one million, three hundred two thousand, twenty".