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1082182900 = 225210821829
BaseRepresentation
bin100000010000000…
…1100110011110100
32210102022120212011
41000200030303310
54204014323100
6255214534004
735550255121
oct10040146364
92712276764
101082182900
11505956037
12262507304
13143283016
14a3a21748
1565016bba
hex4080ccf4

1082182900 has 18 divisors (see below), whose sum is σ = 2348337110. Its totient is φ = 432873120.

The previous prime is 1082182853. The next prime is 1082182903. The reversal of 1082182900 is 92812801.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 268107876 + 814075024 = 16374^2 + 28532^2 .

It is a super-2 number, since 2×10821829002 = 2342239658104820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082182903) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5410815 + ... + 5411014.

Almost surely, 21082182900 is an apocalyptic number.

1082182900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082182900 is an abundant number, since it is smaller than the sum of its proper divisors (1266154210).

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

1082182900 is a wasteful number, since it uses less digits than its factorization.

1082182900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821843 (or 10821836 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 1082182900 is about 32896.5484511673. The cubic root of 1082182900 is about 1026.6763447580.

The spelling of 1082182900 in words is "one billion, eighty-two million, one hundred eighty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10821829 21643658 43287316 54109145 108218290 216436580 270545725 541091450 1082182900