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242242011400 = 23521211210057
BaseRepresentation
bin1110000110011010111…
…1111100000100001000
3212011021021002012110011
43201212233330010020
512432102423331100
6303141235001304
723333661060124
oct3414657740410
9764237065404
10242242011400
1193809333624
123ab46439234
1319ac6a222ac
14ba20344584
15647bbc5bba
hex3866bfc108

242242011400 has 24 divisors (see below), whose sum is σ = 563212676970. Its totient is φ = 96896804480.

The previous prime is 242242011391. The next prime is 242242011409. The reversal of 242242011400 is 4110242242.

It is an interprime number because it is at equal distance from previous prime (242242011391) and next prime (242242011409).

It can be written as a sum of positive squares in 3 ways, for example, as 195432958084 + 46809053316 = 442078^2 + 216354^2 .

It is not an unprimeable number, because it can be changed into a prime (242242011409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 605604829 + ... + 605605228.

Almost surely, 2242242011400 is an apocalyptic number.

242242011400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242242011400 is an abundant number, since it is smaller than the sum of its proper divisors (320970665570).

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

242242011400 is a wasteful number, since it uses less digits than its factorization.

242242011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211210073 (or 1211210064 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 242242011400 its reverse (4110242242), we get a palindrome (246352253642).

The spelling of 242242011400 in words is "two hundred forty-two billion, two hundred forty-two million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1211210057 2422420114 4844840228 6056050285 9689680456 12112100570 24224201140 30280251425 48448402280 60560502850 121121005700 242242011400