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1022424413401 = 17701589714549
BaseRepresentation
bin11101110000011010011…
…11100111010011011001
310121202001111220122200201
432320031033213103121
5113222411122212101
62101410103302201
7133603426056406
oct16701517472331
93552044818621
101022424413401
11364675a21656
1214619ba4a961
1375550029301
14376b27052ad
151b8e027be01
hexee0d3e74d9

1022424413401 has 16 divisors (see below), whose sum is σ = 1084369712400. Its totient is φ = 960680089600.

The previous prime is 1022424413399. The next prime is 1022424413411. The reversal of 1022424413401 is 1043144242201.

It can be written as a sum of positive squares in 8 ways, for example, as 509080823001 + 513343590400 = 713499^2 + 716480^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022424413401 - 21 = 1022424413399 is a prime.

It is a super-2 number, since 2×10224244134012 (a number of 25 digits) contains 22 as substring.

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 1022424413401.

It is not an unprimeable number, because it can be changed into a prime (1022424413411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70267275 + ... + 70281823.

It is an arithmetic number, because the mean of its divisors is an integer number (67773107025).

Almost surely, 21022424413401 is an apocalyptic number.

It is an amenable number.

1022424413401 is a deficient number, since it is larger than the sum of its proper divisors (61945298999).

1022424413401 is a wasteful number, since it uses less digits than its factorization.

1022424413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21164.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1022424413401 its reverse (1043144242201), we get a palindrome (2065568655602).

The spelling of 1022424413401 in words is "one trillion, twenty-two billion, four hundred twenty-four million, four hundred thirteen thousand, four hundred one".

Divisors: 1 17 701 5897 11917 14549 100249 247333 4133797 10198849 70274549 85795453 173380433 1458522701 60142612553 1022424413401