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1120013000 = 23531278819
BaseRepresentation
bin100001011000010…
…0000101011001000
32220001111112222222
41002300200223020
54243210404000
6303045433212
736516645011
oct10260405310
92801445888
101120013000
11525244387
1227310b808
1314b069cb2
14a8a6c008
15684daa85
hex42c20ac8

1120013000 has 64 divisors (see below), whose sum is σ = 2641766400. Its totient is φ = 444427200.

The previous prime is 1120012997. The next prime is 1120013003. The reversal of 1120013000 is 3100211.

It is an interprime number because it is at equal distance from previous prime (1120012997) and next prime (1120013003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1120013003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122591 + ... + 131409.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 21120013000 is an apocalyptic number.

1120013000 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 1120013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

1120013000 is an abundant number, since it is smaller than the sum of its proper divisors (1521753400).

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

1120013000 is a wasteful number, since it uses less digits than its factorization.

1120013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8953 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1120013000 is about 33466.5952854484. The cubic root of 1120013000 is about 1038.5028383561.

Adding to 1120013000 its reverse (3100211), we get a palindrome (1123113211).

The spelling of 1120013000 in words is "one billion, one hundred twenty million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 1000 1016 1270 2540 3175 5080 6350 8819 12700 15875 17638 25400 31750 35276 44095 63500 70552 88190 127000 176380 220475 352760 440950 881900 1102375 1120013 1763800 2204750 2240026 4409500 4480052 5600065 8819000 8960104 11200130 22400260 28000325 44800520 56000650 112001300 140001625 224002600 280003250 560006500 1120013000