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122461053 = 31113285457
BaseRepresentation
bin1110100110010…
…01101101111101
322112102122222120
413103021231331
5222322223203
620052433153
73014621211
oct723115575
9275378876
10122461053
1163142890
12350187b9
131c4a9180
141239a941
15ab3eb53
hex74c9b7d

122461053 has 16 divisors (see below), whose sum is σ = 191827776. Its totient is φ = 68509440.

The previous prime is 122461043. The next prime is 122461069. The reversal of 122461053 is 350164221.

It is not a de Polignac number, because 122461053 - 24 = 122461037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122461043) 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 15 ways as a sum of consecutive naturals, for example, 142300 + ... + 143157.

It is an arithmetic number, because the mean of its divisors is an integer number (11989236).

Almost surely, 2122461053 is an apocalyptic number.

122461053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122461053 is a deficient number, since it is larger than the sum of its proper divisors (69366723).

122461053 is a wasteful number, since it uses less digits than its factorization.

122461053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285484.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 122461053 is about 11066.2122246051. The cubic root of 122461053 is about 496.5915551374.

The spelling of 122461053 in words is "one hundred twenty-two million, four hundred sixty-one thousand, fifty-three".

Divisors: 1 3 11 13 33 39 143 429 285457 856371 3140027 3710941 9420081 11132823 40820351 122461053