Search a number
-
+
1220323121010 = 233572199463513
BaseRepresentation
bin10001110000100000111…
…011010001011101110010
311022122212102020121221000
4101300200323101131302
5124443210204333020
62332335251342430
7154110513244500
oct21604073213562
94278772217830
101220323121010
11430599651774
1217860b8b1a16
138b0cabc72b6
14430c76c1670
1521b23ed1090
hex11c20ed1772

1220323121010 has 192 divisors, whose sum is σ = 3804522912000. Its totient is φ = 277528737024.

The previous prime is 1220323120987. The next prime is 1220323121063. The reversal of 1220323121010 is 101213230221.

1220323121010 is a `hidden beast` number, since 1 + 220 + 3 + 231 + 210 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2401014 + ... + 2864526.

It is an arithmetic number, because the mean of its divisors is an integer number (19815223500).

Almost surely, 21220323121010 is an apocalyptic number.

1220323121010 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 1220323121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902261456000).

1220323121010 is an abundant number, since it is smaller than the sum of its proper divisors (2584199790990).

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

1220323121010 is a wasteful number, since it uses less digits than its factorization.

1220323121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463742 (or 463729 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1220323121010 its reverse (101213230221), we get a palindrome (1321536351231).

The spelling of 1220323121010 in words is "one trillion, two hundred twenty billion, three hundred twenty-three million, one hundred twenty-one thousand, ten".