Search a number
-
+
1021302400320 = 263253173156703
BaseRepresentation
bin11101101110010100101…
…11011110010101000000
310121122011022122111002200
432313022113132111000
5113213111403302240
62101102502513200
7133533553111266
oct16671227362500
93548138574080
101021302400320
1136414a641614
12145b28135800
137540173bb47
14376076b6436
151b8769e8930
hexedca5de540

1021302400320 has 336 divisors, whose sum is σ = 3675869663232. Its totient is φ = 259949813760.

The previous prime is 1021302400291. The next prime is 1021302400373. The reversal of 1021302400320 is 230042031201.

1021302400320 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 302 + 40 + 0 + 320 = 666.

It is a super-2 number, since 2×10213024003202 (a number of 25 digits) contains 22 as substring.

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 = 1021302400293 and 1021302400302.

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, 6439089 + ... + 6595791.

Almost surely, 21021302400320 is an apocalyptic number.

1021302400320 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 1021302400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837934831616).

1021302400320 is an abundant number, since it is smaller than the sum of its proper divisors (2654567262912).

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

1021302400320 is a wasteful number, since it uses less digits than its factorization.

1021302400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156830 (or 156817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1021302400320 its reverse (230042031201), we get a palindrome (1251344431521).

The spelling of 1021302400320 in words is "one trillion, twenty-one billion, three hundred two million, four hundred thousand, three hundred twenty".