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1012430300 = 225276721587
BaseRepresentation
bin111100010110000…
…111010111011100
32121120001210021112
4330112013113130
54033140232200
6244243521152
734042341560
oct7426072734
92546053245
101012430300
1147a543962
122430891b8
1313199ccab
14986656a0
155dd39535
hex3c5875dc

1012430300 has 72 divisors (see below), whose sum is σ = 2548420224. Its totient is φ = 341922240.

The previous prime is 1012430299. The next prime is 1012430303. The reversal of 1012430300 is 30342101.

It is a super-2 number, since 2×10124303002 = 2050030224716180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012430303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36107 + ... + 57693.

Almost surely, 21012430300 is an apocalyptic number.

1012430300 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 1012430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274210112).

1012430300 is an abundant number, since it is smaller than the sum of its proper divisors (1535989924).

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

1012430300 is a wasteful number, since it uses less digits than its factorization.

1012430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21675 (or 21668 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1012430300 is about 31818.7099047086. The cubic root of 1012430300 is about 1004.1263828777.

Adding to 1012430300 its reverse (30342101), we get a palindrome (1042772401).

The spelling of 1012430300 in words is "one billion, twelve million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 700 938 1340 1675 1876 2345 3350 4690 6700 9380 11725 21587 23450 43174 46900 86348 107935 151109 215870 302218 431740 539675 604436 755545 1079350 1446329 1511090 2158700 2892658 3022180 3777725 5785316 7231645 7555450 10124303 14463290 15110900 20248606 28926580 36158225 40497212 50621515 72316450 101243030 144632900 202486060 253107575 506215150 1012430300