Search a number
-
+
122032330144 = 2531713998599
BaseRepresentation
bin111000110100110110…
…0011001010110100000
3102122222122100200100021
41301221230121112200
53444410234031034
6132021052203224
711550034456114
oct1615154312640
9378878320307
10122032330144
114783208390a
121b798469514
13b67a27119a
145c99219744
1532936026b4
hex1c69b195a0

122032330144 has 48 divisors (see below), whose sum is σ = 241209360000. Its totient is φ = 60773140224.

The previous prime is 122032330129. The next prime is 122032330243. The reversal of 122032330144 is 441033230221.

It is a super-2 number, since 2×1220323301442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14187157 + ... + 14195755.

It is an arithmetic number, because the mean of its divisors is an integer number (5025195000).

Almost surely, 2122032330144 is an apocalyptic number.

It is an amenable number.

122032330144 is a deficient number, since it is larger than the sum of its proper divisors (119177029856).

122032330144 is a wasteful number, since it uses less digits than its factorization.

122032330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 122032330144 its reverse (441033230221), we get a palindrome (563065560365).

The spelling of 122032330144 in words is "one hundred twenty-two billion, thirty-two million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 317 634 1268 1399 2536 2798 5072 5596 8599 10144 11192 17198 22384 34396 44768 68792 137584 275168 443483 886966 1773932 2725883 3547864 5451766 7095728 10903532 12030001 14191456 21807064 24060002 43614128 48120004 87228256 96240008 192480016 384960032 3813510317 7627020634 15254041268 30508082536 61016165072 122032330144