Search a number
-
+
2420401310033 = 71758013506207
BaseRepresentation
bin100011001110001011001…
…010010000100101010001
322120101110221002011002012
4203032023022100211101
5304123440213410113
65051530024032305
7336603541452050
oct43161312204521
98511427064065
102420401310033
11853539492393
1233110b602695
13147320759ca5
1485210360397
1542e609b3aa8
hex2338b290951

2420401310033 has 16 divisors (see below), whose sum is σ = 2929394709504. Its totient is φ = 1952255500800.

The previous prime is 2420401310023. The next prime is 2420401310069. The reversal of 2420401310033 is 3300131040242.

It is a cyclic number.

It is not a de Polignac number, because 2420401310033 - 216 = 2420401244497 is a prime.

It is a super-2 number, since 2×24204013100332 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2420401309990 and 2420401310008.

It is not an unprimeable number, because it can be changed into a prime (2420401310023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062785 + ... + 2443422.

It is an arithmetic number, because the mean of its divisors is an integer number (183087169344).

Almost surely, 22420401310033 is an apocalyptic number.

It is an amenable number.

2420401310033 is a deficient number, since it is larger than the sum of its proper divisors (508993399471).

2420401310033 is a wasteful number, since it uses less digits than its factorization.

2420401310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512032.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2420401310033 its reverse (3300131040242), we get a palindrome (5720532350275).

The spelling of 2420401310033 in words is "two trillion, four hundred twenty billion, four hundred one million, three hundred ten thousand, thirty-three".

Divisors: 1 7 17 119 5801 40607 98617 690319 3506207 24543449 59605519 417238633 20339506807 142376547649 345771615719 2420401310033