Search a number
-
+
102244023024 = 243111314895691
BaseRepresentation
bin101111100111000110…
…1111111101011110000
3100202220120011112010120
41133032031333223300
53133343432214044
6114545324130240
710246462566453
oct1371615775360
9322816145116
10102244023024
113a3a80a3890
1217995396980
1398456b5b10
144d3d0bb49a
1529d6250519
hex17ce37faf0

102244023024 has 80 divisors (see below), whose sum is σ = 310307055744. Its totient is φ = 28599724800.

The previous prime is 102244023023. The next prime is 102244023113. The reversal of 102244023024 is 420320442201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102244022985 and 102244023003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102244023023) 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, 7440982 + ... + 7454709.

Almost surely, 2102244023024 is an apocalyptic number.

It is an amenable number.

102244023024 is an abundant number, since it is smaller than the sum of its proper divisors (208063032720).

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

102244023024 is a wasteful number, since it uses less digits than its factorization.

102244023024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14895726 (or 14895720 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102244023024 its reverse (420320442201), we get a palindrome (522564465225).

The spelling of 102244023024 in words is "one hundred two billion, two hundred forty-four million, twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 14895691 29791382 44687073 59582764 89374146 119165528 163852601 178748292 193643983 238331056 327705202 357496584 387287966 491557803 580931949 655410404 714993168 774575932 983115606 1161863898 1310820808 1549151864 1966231212 2130083813 2323727796 2621641616 3098303728 3932462424 4260167626 4647455592 6390251439 7864924848 8520335252 9294911184 12780502878 17040670504 25561005756 34081341008 51122011512 102244023024