Search a number
-
+
102134022240 = 2535212779213
BaseRepresentation
bin101111100011110101…
…0011000000001100000
3100202121220011220102110
41133013222120001200
53133132302202430
6114530354315320
710243655602455
oct1370752300140
9322556156373
10102134022240
113a350aa1648
1217964588b40
1398289802b3
144d2c64582c
1529cb7727b0
hex17c7a98060

102134022240 has 48 divisors (see below), whose sum is σ = 321722171568. Its totient is φ = 27235739136.

The previous prime is 102134022239. The next prime is 102134022251. The reversal of 102134022240 is 42220431201.

102134022240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106389127 + ... + 106390086.

It is an arithmetic number, because the mean of its divisors is an integer number (6702545241).

Almost surely, 2102134022240 is an apocalyptic number.

102134022240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102134022240 is an abundant number, since it is smaller than the sum of its proper divisors (219588149328).

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

102134022240 is a wasteful number, since it uses less digits than its factorization.

102134022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212779231 (or 212779223 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102134022240 its reverse (42220431201), we get a palindrome (144354453441).

The spelling of 102134022240 in words is "one hundred two billion, one hundred thirty-four million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 212779213 425558426 638337639 851116852 1063896065 1276675278 1702233704 2127792130 2553350556 3191688195 3404467408 4255584260 5106701112 6383376390 6808934816 8511168520 10213402224 12766752780 17022337040 20426804448 25533505560 34044674080 51067011120 102134022240