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1013120300 = 225231714603
BaseRepresentation
bin111100011000101…
…111110100101100
32121121100211210002
4330120233310230
54033324322200
6244310403432
734051244333
oct7430576454
92547324702
101013120300
1147a975305
12243360578
13131b8208a
14987a4d1a
155de23bd5
hex3c62fd2c

1013120300 has 72 divisors (see below), whose sum is σ = 2301852672. Its totient is φ = 386568000.

The previous prime is 1013120293. The next prime is 1013120341. The reversal of 1013120300 is 30213101.

It is an unprimeable number.

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, 217799 + ... + 222401.

It is an arithmetic number, because the mean of its divisors is an integer number (31970176).

Almost surely, 21013120300 is an apocalyptic number.

1013120300 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 1013120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150926336).

1013120300 is an abundant number, since it is smaller than the sum of its proper divisors (1288732372).

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

1013120300 is a wasteful number, since it uses less digits than its factorization.

1013120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1013120300 is about 31829.5507351266. The cubic root of 1013120300 is about 1004.3544446235.

Adding to 1013120300 its reverse (30213101), we get a palindrome (1043333401).

The spelling of 1013120300 in words is "one billion, thirteen million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 71 100 124 142 155 284 310 355 620 710 775 1420 1550 1775 2201 3100 3550 4402 4603 7100 8804 9206 11005 18412 22010 23015 44020 46030 55025 92060 110050 115075 142693 220100 230150 285386 326813 460300 570772 653626 713465 1307252 1426930 1634065 2853860 3268130 3567325 6536260 7134650 8170325 10131203 14269300 16340650 20262406 32681300 40524812 50656015 101312030 202624060 253280075 506560150 1013120300