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122053000 = 2353122053
BaseRepresentation
bin1110100011001…
…10000110001000
322111122221020111
413101212012020
5222221144000
620040004104
73011301436
oct721460610
9274587214
10122053000
1162994253
1234a60634
131c395514
14122d1d56
15aaadcba
hex7466188

122053000 has 32 divisors (see below), whose sum is σ = 285606360. Its totient is φ = 48820800.

The previous prime is 122052961. The next prime is 122053027. The reversal of 122053000 is 350221.

It can be written as a sum of positive squares in 4 ways, for example, as 10074276 + 111978724 = 3174^2 + 10582^2 .

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60027 + ... + 62026.

Almost surely, 2122053000 is an apocalyptic number.

122053000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122053000 is an abundant number, since it is smaller than the sum of its proper divisors (163553360).

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

122053000 is a wasteful number, since it uses less digits than its factorization.

122053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122074 (or 122060 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 122053000 is about 11047.7599539454. The cubic root of 122053000 is about 496.0393764265.

The spelling of 122053000 in words is "one hundred twenty-two million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 122053 244106 488212 610265 976424 1220530 2441060 3051325 4882120 6102650 12205300 15256625 24410600 30513250 61026500 122053000