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1257012129 = 32767151429
BaseRepresentation
bin100101011101100…
…0111101110100001
310020121021211110210
41022323013232201
510033243342004
6324422044333
743102266252
oct11273075641
93217254423
101257012129
115956068aa
122b0b796a9
13170566479
14bcd30b29
157554d089
hex4aec7ba1

1257012129 has 8 divisors (see below), whose sum is σ = 1676632960. Its totient is φ = 837699696.

The previous prime is 1257012109. The next prime is 1257012131. The reversal of 1257012129 is 9212107521.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1257012129 - 211 = 1257010081 is a prime.

It is a super-2 number, since 2×12570121292 = 3160158984906225282, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1257012096 and 1257012105.

It is not an unprimeable number, because it can be changed into a prime (1257012109) 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 7 ways as a sum of consecutive naturals, for example, 67414 + ... + 84015.

It is an arithmetic number, because the mean of its divisors is an integer number (209579120).

Almost surely, 21257012129 is an apocalyptic number.

It is an amenable number.

1257012129 is a deficient number, since it is larger than the sum of its proper divisors (419620831).

1257012129 is a wasteful number, since it uses less digits than its factorization.

1257012129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154199.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 1257012129 is about 35454.3668537460. The cubic root of 1257012129 is about 1079.2278800503.

The spelling of 1257012129 in words is "one billion, two hundred fifty-seven million, twelve thousand, one hundred twenty-nine".

Divisors: 1 3 2767 8301 151429 454287 419004043 1257012129