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1025120300 = 2252193371601
BaseRepresentation
bin111101000110100…
…001100000101100
32122102221111200112
4331012201200230
54044412322200
6245415515152
734255243631
oct7506414054
92572844615
101025120300
11486721066
12247388ab8
131344c4079
149a20a188
155eee4535
hex3d1a182c

1025120300 has 72 divisors (see below), whose sum is σ = 2350005840. Its totient is φ = 387072000.

The previous prime is 1025120287. The next prime is 1025120303. The reversal of 1025120300 is 30215201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1025120303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 639500 + ... + 641100.

It is an arithmetic number, because the mean of its divisors is an integer number (32638970).

Almost surely, 21025120300 is an apocalyptic number.

1025120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175002920).

1025120300 is an abundant number, since it is smaller than the sum of its proper divisors (1324885540).

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

1025120300 is a wasteful number, since it uses less digits than its factorization.

1025120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1025120300 is about 32017.4999023971. The cubic root of 1025120300 is about 1008.3042813538.

Adding to 1025120300 its reverse (30215201), we get a palindrome (1055335501).

The spelling of 1025120300 in words is "one billion, twenty-five million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 337 380 475 674 950 1348 1601 1685 1900 3202 3370 6403 6404 6740 8005 8425 12806 16010 16850 25612 30419 32015 32020 33700 40025 60838 64030 80050 121676 128060 152095 160075 160100 304190 320150 539537 608380 640300 760475 1079074 1520950 2158148 2697685 3041900 5395370 10251203 10790740 13488425 20502406 26976850 41004812 51256015 53953700 102512030 205024060 256280075 512560150 1025120300