Search a number
-
+
1022030131320 = 2332511833379227
BaseRepresentation
bin11101101111101011011…
…11100011000001111000
310121201001001000001100200
432313311233203001320
5113221104203200240
62101303020402200
7133560600531102
oct16676557430170
93551031001320
101022030131320
113644934016a0
121460ab9a6360
13754b943a4c3
14376761cc572
151b8ba847930
hexedf5be3078

1022030131320 has 384 divisors, whose sum is σ = 3678499319040. Its totient is φ = 244026961920.

The previous prime is 1022030131319. The next prime is 1022030131349. The reversal of 1022030131320 is 231310302201.

1022030131320 is a `hidden beast` number, since 10 + 2 + 2 + 0 + 301 + 31 + 320 = 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 = 1022030131293 and 1022030131302.

It is a congruent number.

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, 110760547 + ... + 110769773.

It is an arithmetic number, because the mean of its divisors is an integer number (9579425310).

Almost surely, 21022030131320 is an apocalyptic number.

1022030131320 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 1022030131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839249659520).

1022030131320 is an abundant number, since it is smaller than the sum of its proper divisors (2656469187720).

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

1022030131320 is a wasteful number, since it uses less digits than its factorization.

1022030131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9668 counting only the distinct ones).

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

Adding to 1022030131320 its reverse (231310302201), we get a palindrome (1253340433521).

The spelling of 1022030131320 in words is "one trillion, twenty-two billion, thirty million, one hundred thirty-one thousand, three hundred twenty".