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122040442233 = 3397103145197
BaseRepresentation
bin111000110101000101…
…1010101110101111001
3102200000012121211001000
41301222023111311321
53444414323122413
6132021542115213
711550163433403
oct1615213256571
9380005554030
10122040442233
1147836714616
121b79b11bb09
13b67bb51638
145c9a32bb73
1532941a6073
hex1c6a2d5d79

122040442233 has 32 divisors (see below), whose sum is σ = 182845797120. Its totient is φ = 80441648640.

The previous prime is 122040442177. The next prime is 122040442241. The reversal of 122040442233 is 332244040221.

122040442233 is a `hidden beast` number, since 1 + 2 + 20 + 404 + 4 + 2 + 233 = 666.

It is not a de Polignac number, because 122040442233 - 28 = 122040441977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122040442197 and 122040442206.

It is not an unprimeable number, because it can be changed into a prime (122040442243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2677591 + ... + 2722787.

It is an arithmetic number, because the mean of its divisors is an integer number (5713931160).

Almost surely, 2122040442233 is an apocalyptic number.

It is an amenable number.

122040442233 is a deficient number, since it is larger than the sum of its proper divisors (60805354887).

122040442233 is a wasteful number, since it uses less digits than its factorization.

122040442233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46334 (or 46328 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 122040442233 its reverse (332244040221), we get a palindrome (454284482454).

The spelling of 122040442233 in words is "one hundred twenty-two billion, forty million, four hundred forty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 27 97 291 873 1031 2619 3093 9279 27837 45197 100007 135591 300021 406773 900063 1220319 2700189 4384109 13152327 39456981 46598107 118370943 139794321 419382963 1258148889 4520016379 13560049137 40680147411 122040442233