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220400401401 = 3259534113713
BaseRepresentation
bin1100110101000011100…
…0110011101111111001
3210001220002020110012200
43031100320303233321
512102340000321101
6245130041300413
721631504333635
oct3152070635771
9701802213180
10220400401401
118552030a774
123686b794709
1317a25948ccb
14a94b633dc5
155aee432986
hex3350e33bf9

220400401401 has 12 divisors (see below), whose sum is σ = 318409691028. Its totient is φ = 146908882944.

The previous prime is 220400401399. The next prime is 220400401423. The reversal of 220400401401 is 104104004022.

220400401401 is a `hidden beast` number, since 220 + 4 + 0 + 0 + 40 + 1 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5312223225 + 215088178176 = 72885^2 + 463776^2 .

It is not a de Polignac number, because 220400401401 - 21 = 220400401399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220400201401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2003280 + ... + 2110433.

It is an arithmetic number, because the mean of its divisors is an integer number (26534140919).

Almost surely, 2220400401401 is an apocalyptic number.

It is an amenable number.

220400401401 is a deficient number, since it is larger than the sum of its proper divisors (98009289627).

220400401401 is a wasteful number, since it uses less digits than its factorization.

220400401401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119672 (or 4119669 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220400401401 its reverse (104104004022), we get a palindrome (324504405423).

The spelling of 220400401401 in words is "two hundred twenty billion, four hundred million, four hundred one thousand, four hundred one".

Divisors: 1 3 9 5953 17859 53577 4113713 12341139 37023417 24488933489 73466800467 220400401401