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1114011000 = 233253413019
BaseRepresentation
bin100001001100110…
…0111010101111000
32212122012121210200
41002121213111320
54240141323000
6302313042200
736414636324
oct10231472570
92778177720
101114011000
11521914a53
122710b6360
13149a4810b
14a7d48984
1567c02500
hex42667578

1114011000 has 192 divisors, whose sum is σ = 3858472800. Its totient is φ = 289728000.

The previous prime is 1114010993. The next prime is 1114011001. The reversal of 1114011000 is 1104111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114011001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367491 + ... + 370509.

Almost surely, 21114011000 is an apocalyptic number.

1114011000 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 1114011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929236400).

1114011000 is an abundant number, since it is smaller than the sum of its proper divisors (2744461800).

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

1114011000 is a wasteful number, since it uses less digits than its factorization.

1114011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1114011000 is about 33376.8033220679. The cubic root of 1114011000 is about 1036.6444487931.

Adding to 1114011000 its reverse (1104111), we get a palindrome (1115115111).

The spelling of 1114011000 in words is "one billion, one hundred fourteen million, eleven thousand".