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242120312025 = 35215121379277
BaseRepresentation
bin1110000101111101111…
…1101100010011011001
3212010221210002020021220
43201133133230103121
512431330244441100
6303121210322253
723330652460344
oct3413737542331
9763853066256
10242120312025
1193756671029
123ab11729389
1319aa7751a27
14ba0c10545b
156471186aa0
hex385f7ec4d9

242120312025 has 24 divisors (see below), whose sum is σ = 402956631744. Its totient is φ = 128275656000.

The previous prime is 242120312011. The next prime is 242120312041. The reversal of 242120312025 is 520213021242.

It is not a de Polignac number, because 242120312025 - 24 = 242120312009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242120311986 and 242120312004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10678314 + ... + 10700963.

It is an arithmetic number, because the mean of its divisors is an integer number (16789859656).

Almost surely, 2242120312025 is an apocalyptic number.

242120312025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242120312025 is a deficient number, since it is larger than the sum of its proper divisors (160836319719).

242120312025 is a wasteful number, since it uses less digits than its factorization.

242120312025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21379441 (or 21379436 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 242120312025 its reverse (520213021242), we get a palindrome (762333333267).

The spelling of 242120312025 in words is "two hundred forty-two billion, one hundred twenty million, three hundred twelve thousand, twenty-five".

Divisors: 1 3 5 15 25 75 151 453 755 2265 3775 11325 21379277 64137831 106896385 320689155 534481925 1603445775 3228270827 9684812481 16141354135 48424062405 80706770675 242120312025