Search a number
-
+
2023000402033 = 131715073607301
BaseRepresentation
bin11101011100000100001…
…110000110100001110001
321011101201101011100001001
4131130010032012201301
5231121101100331113
64145204211242001
7266104556460532
oct35340416064161
97141641140031
102023000402033
1170aa49a95306
122880a28a9301
131189ca734510
146dcb1444689
153795236b7dd
hex1d704386871

2023000402033 has 16 divisors (see below), whose sum is σ = 2306926527696. Its totient is φ = 1757419315200.

The previous prime is 2023000402019. The next prime is 2023000402063. The reversal of 2023000402033 is 3302040003202.

It can be written as a sum of positive squares in 8 ways, for example, as 313765781904 + 1709234620129 = 560148^2 + 1307377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2023000402033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2023000402033.

It is not an unprimeable number, because it can be changed into a prime (2023000402063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3027483 + ... + 3634783.

It is an arithmetic number, because the mean of its divisors is an integer number (144182907981).

Almost surely, 22023000402033 is an apocalyptic number.

It is an amenable number.

2023000402033 is a deficient number, since it is larger than the sum of its proper divisors (283926125663).

2023000402033 is a wasteful number, since it uses less digits than its factorization.

2023000402033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622404.

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 2023000402033 its reverse (3302040003202), we get a palindrome (5325040405235).

The spelling of 2023000402033 in words is "two trillion, twenty-three billion, four hundred two thousand, thirty-three".

Divisors: 1 13 17 221 15073 195949 256241 607301 3331133 7894913 10324117 134213521 9153847973 119000023649 155615415541 2023000402033