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1110012000 = 25353233397
BaseRepresentation
bin100001000101001…
…0111000001100000
32212100200110012120
41002022113001200
54233130341000
6302051224240
736335642406
oct10212270140
92770613176
101110012000
1151a633499
1226b8a8080
13148c77b46
14a75c7476
15676b26a0
hex42297060

1110012000 has 192 divisors, whose sum is σ = 3661205184. Its totient is φ = 293990400.

The previous prime is 1110011989. The next prime is 1110012011. The reversal of 1110012000 is 2100111.

It is an interprime number because it is at equal distance from previous prime (1110011989) and next prime (1110012011).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1110012000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795802 + ... + 2796198.

It is an arithmetic number, because the mean of its divisors is an integer number (19068777).

Almost surely, 21110012000 is an apocalyptic number.

1110012000 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 1110012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830602592).

1110012000 is an abundant number, since it is smaller than the sum of its proper divisors (2551193184).

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

1110012000 is a wasteful number, since it uses less digits than its factorization.

1110012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1110012000 is about 33316.8425874962. The cubic root of 1110012000 is about 1035.4025366018.

Adding to 1110012000 its reverse (2100111), we get a palindrome (1112112111).

The spelling of 1110012000 in words is "one billion, one hundred ten million, twelve thousand".