Search a number
-
+
10023023022320 = 245711109121367
BaseRepresentation
bin1001000111011010101010…
…1110100001000011110000
31022111012011201002222002202
42101312222232201003300
52303204122343203240
633152302504202332
72053065565661330
oct221665256410360
938435151088082
1010023023022320
1132148162184a0
12115a6421693a8
13579222c18659
1426918cad10c0
15125ac629e315
hex91daaba10f0

10023023022320 has 240 divisors, whose sum is σ = 29101677801984. Its totient is φ = 3118912396800.

The previous prime is 10023023022293. The next prime is 10023023022349. The reversal of 10023023022320 is 2322032032001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10023023022292 and 10023023022301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7332130277 + ... + 7332131643.

Almost surely, 210023023022320 is an apocalyptic number.

10023023022320 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 10023023022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550838900992).

10023023022320 is an abundant number, since it is smaller than the sum of its proper divisors (19078654779664).

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

10023023022320 is a wasteful number, since it uses less digits than its factorization.

10023023022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10023023022320 its reverse (2322032032001), we get a palindrome (12345055054321).

The spelling of 10023023022320 in words is "ten trillion, twenty-three billion, twenty-three million, twenty-two thousand, three hundred twenty".