Search a number
-
+
120153322032 = 2432719236879
BaseRepresentation
bin110111111100110110…
…0100011001000110000
3102111010200200011210020
41233321230203020300
53432033222301112
6131110410403440
711452340246262
oct1577154431060
9374120604706
10120153322032
1146a58466247
121b353130580
13b43abaa373
145b5b857b32
1531d368e48c
hex1bf9b23230

120153322032 has 40 divisors (see below), whose sum is σ = 311541488640. Its totient is φ = 39903312960.

The previous prime is 120153322019. The next prime is 120153322123. The reversal of 120153322032 is 230223351021.

It is a happy number.

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 = 120153321993 and 120153322011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4605432 + ... + 4631447.

It is an arithmetic number, because the mean of its divisors is an integer number (7788537216).

Almost surely, 2120153322032 is an apocalyptic number.

120153322032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120153322032 is an abundant number, since it is smaller than the sum of its proper divisors (191388166608).

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

120153322032 is a wasteful number, since it uses less digits than its factorization.

120153322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237161 (or 9237155 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 120153322032 its reverse (230223351021), we get a palindrome (350376673053).

The spelling of 120153322032 in words is "one hundred twenty billion, one hundred fifty-three million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 271 542 813 1084 1626 2168 3252 4336 6504 13008 9236879 18473758 27710637 36947516 55421274 73895032 110842548 147790064 221685096 443370192 2503194209 5006388418 7509582627 10012776836 15019165254 20025553672 30038330508 40051107344 60076661016 120153322032