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203413122144 = 25321119763079
BaseRepresentation
bin1011110101110001011…
…1011110110001100000
3201110001012200020212200
42331130113132301200
511313042224402034
6233240253053200
720460524003301
oct2753427366140
9643035606780
10203413122144
11792a344a401
123350a787200
131624948a98b
149bb95067a8
155457e1ea99
hex2f5c5dec60

203413122144 has 72 divisors (see below), whose sum is σ = 578516898960. Its totient is φ = 67797243648.

The previous prime is 203413122137. The next prime is 203413122149. The reversal of 203413122144 is 441221314302.

203413122144 is a `hidden beast` number, since 2 + 0 + 341 + 312 + 2 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203413122149) 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, 3193197 + ... + 3256275.

It is an arithmetic number, because the mean of its divisors is an integer number (8034956930).

Almost surely, 2203413122144 is an apocalyptic number.

203413122144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

203413122144 is an abundant number, since it is smaller than the sum of its proper divisors (375103776816).

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

203413122144 is a wasteful number, since it uses less digits than its factorization.

203413122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74292 (or 74281 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 203413122144 its reverse (441221314302), we get a palindrome (644634436446).

The spelling of 203413122144 in words is "two hundred three billion, four hundred thirteen million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11197 22394 33591 44788 63079 67182 89576 100773 126158 134364 179152 189237 201546 252316 268728 358304 378474 403092 504632 537456 567711 756948 806184 1009264 1074912 1135422 1513896 1612368 2018528 2270844 3027792 3224736 4541688 6055584 9083376 18166752 706295563 1412591126 2118886689 2825182252 4237773378 5650364504 6356660067 8475546756 11300729008 12713320134 16951093512 22601458016 25426640268 33902187024 50853280536 67804374048 101706561072 203413122144