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155021222241 = 32121091422461
BaseRepresentation
bin1001000001011111111…
…1000010000101100001
3112211010200210000212200
42100113333002011201
510014440413102431
6155114334443413
714125366435104
oct2202777020541
9484120700780
10155021222241
115a8204907a6
1226064363569
131180692b892
1477085b873b
154074828ee6
hex2417fc2161

155021222241 has 12 divisors (see below), whose sum is σ = 223938192660. Its totient is φ = 103338874080.

The previous prime is 155021222141. The next prime is 155021222267. The reversal of 155021222241 is 142222120551.

155021222241 is a `hidden beast` number, since 15 + 502 + 122 + 2 + 24 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127266995025 + 27754227216 = 356745^2 + 166596^2 .

It is not a de Polignac number, because 155021222241 - 227 = 154887004513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (155021222141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602250 + ... + 820211.

It is an arithmetic number, because the mean of its divisors is an integer number (18661516055).

Almost surely, 2155021222241 is an apocalyptic number.

It is an amenable number.

155021222241 is a deficient number, since it is larger than the sum of its proper divisors (68916970419).

155021222241 is a wasteful number, since it uses less digits than its factorization.

155021222241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434576 (or 1434573 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 155021222241 its reverse (142222120551), we get a palindrome (297243342792).

The spelling of 155021222241 in words is "one hundred fifty-five billion, twenty-one million, two hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 9 12109 36327 108981 1422461 4267383 12802149 17224580249 51673740747 155021222241