Search a number
-
+
1303233232120 = 23517232273311109
BaseRepresentation
bin10010111101101110110…
…000001111110011111000
311121120212120020122212221
4102331232300033303320
5132323010201411440
62434410323013424
7163104222461161
oct22755660176370
94546776218787
101303233232120
11462775203356
121906aa20a274
1395b81c00141
1447110b44768
1523d77bd9d4a
hex12f6ec0fcf8

1303233232120 has 256 divisors, whose sum is σ = 3266797132800. Its totient is φ = 465398292480.

The previous prime is 1303233232061. The next prime is 1303233232121. The reversal of 1303233232120 is 212323323031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303233232121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1175142126 + ... + 1175143234.

It is an arithmetic number, because the mean of its divisors is an integer number (12760926300).

Almost surely, 21303233232120 is an apocalyptic number.

1303233232120 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 1303233232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633398566400).

1303233232120 is an abundant number, since it is smaller than the sum of its proper divisors (1963563900680).

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

1303233232120 is a wasteful number, since it uses less digits than its factorization.

1303233232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 1303233232120 its reverse (212323323031), we get a palindrome (1515556555151).

The spelling of 1303233232120 in words is "one trillion, three hundred three billion, two hundred thirty-three million, two hundred thirty-two thousand, one hundred twenty".