Search a number
-
+
1022023314104 = 23137921574611
BaseRepresentation
bin11101101111101010101…
…01100010101010111000
310121201000120011200220012
432313311111202222320
5113221100432022404
62101302214321052
7133560455555612
oct16676525425270
93551016150805
101022023314104
1136448a575831
121460a9659188
13754b7bc1550
1437675335db2
151b8b9e4ca6e
hexedf5562ab8

1022023314104 has 48 divisors (see below), whose sum is σ = 2090155714920. Its totient is φ = 465731847360.

The previous prime is 1022023314029. The next prime is 1022023314113. The reversal of 1022023314104 is 4014133202201.

It is a self number, because there is not a number n which added to its sum of digits gives 1022023314104.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 138242 + ... + 1436369.

Almost surely, 21022023314104 is an apocalyptic number.

It is an amenable number.

1022023314104 is an abundant number, since it is smaller than the sum of its proper divisors (1068132400816).

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

1022023314104 is a wasteful number, since it uses less digits than its factorization.

1022023314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574788 (or 1574705 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1022023314104 its reverse (4014133202201), we get a palindrome (5036156516305).

The spelling of 1022023314104 in words is "one trillion, twenty-two billion, twenty-three million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 2054 4108 6241 8216 12482 24964 49928 81133 162266 324532 649064 1574611 3149222 6298444 12596888 20469943 40939886 81879772 124394269 163759544 248788538 497577076 995154152 1617125497 3234250994 6468501988 9827147251 12937003976 19654294502 39308589004 78617178008 127752914263 255505828526 511011657052 1022023314104