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1129396900 = 2252109310333
BaseRepresentation
bin100001101010001…
…0011101010100100
32220201011022021211
41003110103222210
54303111200100
6304022521204
736662500222
oct10324235244
92821138254
101129396900
1152a573675
12276296204
1314cca42b8
14a9dd1b12
15692411ba
hex43513aa4

1129396900 has 36 divisors (see below), whose sum is σ = 2453270932. Its totient is φ = 451301760.

The previous prime is 1129396859. The next prime is 1129396949. The reversal of 1129396900 is 96939211.

It can be written as a sum of positive squares in 6 ways, for example, as 107827456 + 1021569444 = 10384^2 + 31962^2 .

It is a super-2 number, since 2×11293969002 = 2551074715459220000, 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 11 ways as a sum of consecutive naturals, for example, 104134 + ... + 114466.

Almost surely, 21129396900 is an apocalyptic number.

1129396900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1129396900 is an abundant number, since it is smaller than the sum of its proper divisors (1323874032).

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

1129396900 is a wasteful number, since it uses less digits than its factorization.

1129396900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440 (or 11433 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 1129396900 is about 33606.5008592088. The cubic root of 1129396900 is about 1041.3951013328.

The spelling of 1129396900 in words is "one billion, one hundred twenty-nine million, three hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1093 2186 4372 5465 10333 10930 20666 21860 27325 41332 51665 54650 103330 109300 206660 258325 516650 1033300 11293969 22587938 45175876 56469845 112939690 225879380 282349225 564698450 1129396900