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1013240200 = 235271514793
BaseRepresentation
bin111100011001001…
…101000110001000
32121121120221020211
4330121031012020
54033342141300
6244313130504
734052254030
oct7431150610
92547527224
101013240200
1147aa473a5
122433b9a34
13131bc481b
14987d68c0
155de494ba
hex3c64d188

1013240200 has 96 divisors (see below), whose sum is σ = 2710719360. Its totient is φ = 345024000.

The previous prime is 1013240191. The next prime is 1013240201. The reversal of 1013240200 is 20423101.

It is not an unprimeable number, because it can be changed into a prime (1013240201) 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, 209004 + ... + 213796.

It is an arithmetic number, because the mean of its divisors is an integer number (28236660).

Almost surely, 21013240200 is an apocalyptic number.

1013240200 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 1013240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355359680).

1013240200 is an abundant number, since it is smaller than the sum of its proper divisors (1697479160).

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

1013240200 is a wasteful number, since it uses less digits than its factorization.

1013240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1013240200 is about 31831.4341492808. The cubic root of 1013240200 is about 1004.3940639223.

Adding to 1013240200 its reverse (20423101), we get a palindrome (1033663301).

The spelling of 1013240200 in words is "one billion, thirteen million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 151 175 200 280 302 350 604 700 755 1057 1208 1400 1510 2114 3020 3775 4228 4793 5285 6040 7550 8456 9586 10570 15100 19172 21140 23965 26425 30200 33551 38344 42280 47930 52850 67102 95860 105700 119825 134204 167755 191720 211400 239650 268408 335510 479300 671020 723743 838775 958600 1342040 1447486 1677550 2894972 3355100 3618715 5066201 5789944 6710200 7237430 10132402 14474860 18093575 20264804 25331005 28949720 36187150 40529608 50662010 72374300 101324020 126655025 144748600 202648040 253310050 506620100 1013240200