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122053005 = 3255945971
BaseRepresentation
bin1110100011001…
…10000110001101
322111122221020200
413101212012031
5222221144010
620040004113
73011301444
oct721460615
9274587220
10122053005
1162994258
1234a60639
131c395519
14122d1d5b
15aaadcc0
hex746618d

122053005 has 24 divisors (see below), whose sum is σ = 215148960. Its totient is φ = 63990240.

The previous prime is 122052961. The next prime is 122053027. The reversal of 122053005 is 500350221.

It is a happy number.

It is not a de Polignac number, because 122053005 - 212 = 122048909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20331 + ... + 25640.

It is an arithmetic number, because the mean of its divisors is an integer number (8964540).

Almost surely, 2122053005 is an apocalyptic number.

122053005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122053005 is a deficient number, since it is larger than the sum of its proper divisors (93095955).

122053005 is a wasteful number, since it uses less digits than its factorization.

122053005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46041 (or 46038 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 122053005 is about 11047.7601802356. The cubic root of 122053005 is about 496.0393832000.

The spelling of 122053005 in words is "one hundred twenty-two million, fifty-three thousand, five".

Divisors: 1 3 5 9 15 45 59 177 295 531 885 2655 45971 137913 229855 413739 689565 2068695 2712289 8136867 13561445 24410601 40684335 122053005