Search a number
-
+
10323303010020 = 2232571113371548497
BaseRepresentation
bin1001011000111001010011…
…0011110000111011100100
31100112220020201212211202200
42112032110303300323210
52323114111032310040
633542243202334500
72113556033523450
oct226162463607344
940486221784680
1010323303010020
1133200a746a690
1211a888535a430
1359b638a59150
142799170b7660
1512d7ed317630
hex96394cf0ee4

10323303010020 has 576 divisors, whose sum is σ = 43180349861376. Its totient is φ = 1926576783360.

The previous prime is 10323303009947. The next prime is 10323303010039. The reversal of 10323303010020 is 2001030332301.

10323303010020 is a `hidden beast` number, since 1 + 0 + 32 + 330 + 301 + 0 + 0 + 2 + 0 = 666.

10323303010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10323303009975 and 10323303010002.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5892412 + ... + 7440908.

It is an arithmetic number, because the mean of its divisors is an integer number (74965885176).

Almost surely, 210323303010020 is an apocalyptic number.

10323303010020 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 10323303010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21590174930688).

10323303010020 is an abundant number, since it is smaller than the sum of its proper divisors (32857046851356).

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

10323303010020 is a wasteful number, since it uses less digits than its factorization.

10323303010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548580 (or 1548575 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10323303010020 its reverse (2001030332301), we get a palindrome (12324333342321).

The spelling of 10323303010020 in words is "ten trillion, three hundred twenty-three billion, three hundred three million, ten thousand, twenty".