Search a number
-
+
1003021002330 = 235192478292377
BaseRepresentation
bin11101001100010001011…
…01011110011001011010
310112212222020222020121020
432212020231132121122
5112413141334033310
62044440445023310
7132315536564004
oct16461055363132
93485866866536
101003021002330
11357419230736
12142485854b36
137377a124799
1436791759374
151b156aa8170
hexe988b5e65a

1003021002330 has 192 divisors, whose sum is σ = 2598894512640. Its totient is φ = 247600032768.

The previous prime is 1003021002317. The next prime is 1003021002383. The reversal of 1003021002330 is 332001203001.

It is a super-2 number, since 2×10030210023302 (a number of 25 digits) contains 22 as substring.

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

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, 421968102 + ... + 421970478.

It is an arithmetic number, because the mean of its divisors is an integer number (13535908920).

Almost surely, 21003021002330 is an apocalyptic number.

1003021002330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003021002330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299447256320).

1003021002330 is an abundant number, since it is smaller than the sum of its proper divisors (1595873510310).

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

1003021002330 is a wasteful number, since it uses less digits than its factorization.

1003021002330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1003021002330 its reverse (332001203001), we get a palindrome (1335022205331).

The spelling of 1003021002330 in words is "one trillion, three billion, twenty-one million, two thousand, three hundred thirty".