Search a number
-
+
120303442300 = 22524136717993
BaseRepresentation
bin111000000001010100…
…1001101100101111100
3102111112011011002002011
41300002221031211330
53432340140123200
6131133332141004
711456142246556
oct1600251154574
9374464132064
10120303442300
114702517a888
121b395467764
13b46301bc22
145b737744d6
1531e19445ba
hex1c02a4d97c

120303442300 has 72 divisors (see below), whose sum is σ = 267532064352. Its totient is φ = 46929024000.

The previous prime is 120303442283. The next prime is 120303442307. The reversal of 120303442300 is 3244303021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120303442307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15047104 + ... + 15055096.

It is an arithmetic number, because the mean of its divisors is an integer number (3715723116).

Almost surely, 2120303442300 is an apocalyptic number.

120303442300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120303442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133766032176).

120303442300 is an abundant number, since it is smaller than the sum of its proper divisors (147228622052).

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

120303442300 is a wasteful number, since it uses less digits than its factorization.

120303442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 120303442300 its reverse (3244303021), we get a palindrome (123547745321).

The spelling of 120303442300 in words is "one hundred twenty billion, three hundred three million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 3671 4100 7342 7993 14684 15986 18355 31972 36710 39965 73420 79930 91775 150511 159860 183550 199825 301022 327713 367100 399650 602044 655426 752555 799300 1310852 1505110 1638565 3010220 3277130 3762775 6554260 7525550 8192825 15051100 16385650 29342303 32771300 58684606 117369212 146711515 293423030 586846060 733557575 1203034423 1467115150 2406068846 2934230300 4812137692 6015172115 12030344230 24060688460 30075860575 60151721150 120303442300