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1001310320220 = 223577944236823
BaseRepresentation
bin11101001001000101011…
…11101111011001011100
310112201120001000120220120
432210202233233121130
5112401140420221340
62043555015114540
7132225255201420
oct16444257573134
93481501016816
101001310320220
11356720631971
12142088972a50
13735668a8052
143666c492b80
151b0a67e44d0
hexe922bef65c

1001310320220 has 192 divisors, whose sum is σ = 3245961707520. Its totient is φ = 225889627392.

The previous prime is 1001310320201. The next prime is 1001310320237. The reversal of 1001310320220 is 220230131001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001310320220.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 146751729 + ... + 146758551.

It is an arithmetic number, because the mean of its divisors is an integer number (16906050560).

Almost surely, 21001310320220 is an apocalyptic number.

1001310320220 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 1001310320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622980853760).

1001310320220 is an abundant number, since it is smaller than the sum of its proper divisors (2244651387300).

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

1001310320220 is a wasteful number, since it uses less digits than its factorization.

1001310320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 11342 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1001310320220 its reverse (220230131001), we get a palindrome (1221540451221).

The spelling of 1001310320220 in words is "one trillion, one billion, three hundred ten million, three hundred twenty thousand, two hundred twenty".