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1248136900 = 225212481369
BaseRepresentation
bin100101001100101…
…0000111011000100
310012222120220221121
41022121100323010
510024010340100
6323503523324
742633663043
oct11231207304
93188526847
101248136900
115905a47aa
122a9bb9544
1316b77985a
14bbaa055a
157489851a
hex4a650ec4

1248136900 has 18 divisors (see below), whose sum is σ = 2708457290. Its totient is φ = 499254720.

The previous prime is 1248136871. The next prime is 1248136913. The reversal of 1248136900 is 96318421.

It can be written as a sum of positive squares in 3 ways, for example, as 8111104 + 1240025796 = 2848^2 + 35214^2 .

It is a super-2 number, since 2×12481369002 = 3115691442283220000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 6240585 + ... + 6240784.

Almost surely, 21248136900 is an apocalyptic number.

1248136900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1248136900 is an abundant number, since it is smaller than the sum of its proper divisors (1460320390).

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

1248136900 is a wasteful number, since it uses less digits than its factorization.

1248136900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12481383 (or 12481376 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1248136900 is about 35328.9810212522. The cubic root of 1248136900 is about 1076.6818885959.

The spelling of 1248136900 in words is "one billion, two hundred forty-eight million, one hundred thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12481369 24962738 49925476 62406845 124813690 249627380 312034225 624068450 1248136900