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1030036900 = 225210300369
BaseRepresentation
bin111101011001010…
…001110110100100
32122210012021222211
4331121101312210
54102142140100
6250113133204
734345112014
oct7531216644
92583167884
101030036900
11489479a72
12248b5a204
13135525bb9
149ab29c44
15606661ba
hex3d651da4

1030036900 has 18 divisors (see below), whose sum is σ = 2235180290. Its totient is φ = 412014720.

The previous prime is 1030036879. The next prime is 1030036901. The reversal of 1030036900 is 96300301.

It can be written as a sum of positive squares in 3 ways, for example, as 147233956 + 882802944 = 12134^2 + 29712^2 .

It is a super-3 number, since 3×10300369003 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

1030036900 is a modest number, since divided by 36900 gives 10300 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1030036901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5150085 + ... + 5150284.

Almost surely, 21030036900 is an apocalyptic number.

1030036900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030036900 is an abundant number, since it is smaller than the sum of its proper divisors (1205143390).

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

1030036900 is a wasteful number, since it uses less digits than its factorization.

1030036900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10300383 (or 10300376 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 1030036900 is about 32094.1879473527. The cubic root of 1030036900 is about 1009.9136938963.

The spelling of 1030036900 in words is "one billion, thirty million, thirty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10300369 20600738 41201476 51501845 103003690 206007380 257509225 515018450 1030036900