Search a number
-
+
1030141421320 = 2351141435092609
BaseRepresentation
bin11101111110110010011…
…01101010011100001000
310122110222022211021102211
432333121031222130020
5113334212200440240
62105123533434504
7134265602414644
oct16773115523410
93573868737384
101030141421320
11367975a81950
1214779433ba34
13761aca47b9b
1437c05585c24
151bbe29c7bea
hexefd936a708

1030141421320 has 256 divisors, whose sum is σ = 2656662624000. Its totient is φ = 356123443200.

The previous prime is 1030141421303. The next prime is 1030141421357. The reversal of 1030141421320 is 231241410301.

It is a super-2 number, since 2×10301414213202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1030141421291 and 1030141421300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394840176 + ... + 394842784.

It is an arithmetic number, because the mean of its divisors is an integer number (10377588375).

Almost surely, 21030141421320 is an apocalyptic number.

1030141421320 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 1030141421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328331312000).

1030141421320 is an abundant number, since it is smaller than the sum of its proper divisors (1626521202680).

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

1030141421320 is a wasteful number, since it uses less digits than its factorization.

1030141421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1030141421320 its reverse (231241410301), we get a palindrome (1261382831621).

The spelling of 1030141421320 in words is "one trillion, thirty billion, one hundred forty-one million, four hundred twenty-one thousand, three hundred twenty".