Search a number
-
+
1023233131 = 23129734301
BaseRepresentation
bin111100111111010…
…100110001101011
32122022101121222101
4330333110301223
54043421430011
6245311234231
734233223654
oct7477246153
92568347871
101023233131
11485652218
12246818977
13133cb30bb
1499c7852b
155ec702c1
hex3cfd4c6b

1023233131 has 8 divisors (see below), whose sum is σ = 1068575904. Its totient is φ = 977961600.

The previous prime is 1023233083. The next prime is 1023233137. The reversal of 1023233131 is 1313323201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1023233131 - 29 = 1023232619 is a prime.

It is a super-2 number, since 2×10232331312 = 2094012080752126322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1023233099 and 1023233108.

It is not an unprimeable number, because it can be changed into a prime (1023233137) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12681 + ... + 46981.

It is an arithmetic number, because the mean of its divisors is an integer number (133571988).

Almost surely, 21023233131 is an apocalyptic number.

1023233131 is a deficient number, since it is larger than the sum of its proper divisors (45342773).

1023233131 is a wasteful number, since it uses less digits than its factorization.

1023233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35621.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1023233131 is about 31988.0154276567. The cubic root of 1023233131 is about 1007.6851639552.

Adding to 1023233131 its reverse (1313323201), we get a palindrome (2336556332).

The spelling of 1023233131 in words is "one billion, twenty-three million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 23 1297 29831 34301 788923 44488397 1023233131