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242121352104 = 23325096606673
BaseRepresentation
bin1110000101111110001…
…1101010001110101000
3212010221212001002000100
43201133203222032220
512431331031231404
6303121244505400
723330664351552
oct3413743521650
9763855032010
10242121352104
11937572114a5
123ab11b4b260
1319aa7a27268
14ba0c2d64d2
1564712ded39
hex385f8ea3a8

242121352104 has 48 divisors (see below), whose sum is σ = 657033729300. Its totient is φ = 80548545024.

The previous prime is 242121352097. The next prime is 242121352127. The reversal of 242121352104 is 401253121242.

242121352104 is a `hidden beast` number, since 2 + 421 + 2 + 135 + 2 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 230544022500 + 11577329604 = 480150^2 + 107598^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3266689 + ... + 3339984.

Almost surely, 2242121352104 is an apocalyptic number.

242121352104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242121352104 is an abundant number, since it is smaller than the sum of its proper divisors (414912377196).

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

242121352104 is a wasteful number, since it uses less digits than its factorization.

242121352104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607194 (or 6607187 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 242121352104 its reverse (401253121242), we get a palindrome (643374473346).

The spelling of 242121352104 in words is "two hundred forty-two billion, one hundred twenty-one million, three hundred fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 509 1018 1527 2036 3054 4072 4581 6108 9162 12216 18324 36648 6606673 13213346 19820019 26426692 39640038 52853384 59460057 79280076 118920114 158560152 237840228 475680456 3362796557 6725593114 10088389671 13451186228 20176779342 26902372456 30265169013 40353558684 60530338026 80707117368 121060676052 242121352104