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1112001000 = 2335311311087
BaseRepresentation
bin100001001000111…
…1100100111101000
32212111102111121020
41002101330213220
54234133013000
6302202012440
736361565265
oct10221744750
92774374536
101112001000
115207718a0
122704a7120
131494c3276
14a798426c
1567956ba0
hex4247c9e8

1112001000 has 256 divisors, whose sum is σ = 3910533120. Its totient is φ = 260640000.

The previous prime is 1112000999. The next prime is 1112001001. The reversal of 1112001000 is 1002111.

It is an interprime number because it is at equal distance from previous prime (1112000999) and next prime (1112001001).

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 1112001000.

It is not an unprimeable number, because it can be changed into a prime (1112001001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1022457 + ... + 1023543.

It is an arithmetic number, because the mean of its divisors is an integer number (15275520).

Almost surely, 21112001000 is an apocalyptic number.

1112001000 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 1112001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955266560).

1112001000 is an abundant number, since it is smaller than the sum of its proper divisors (2798532120).

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

1112001000 is a wasteful number, since it uses less digits than its factorization.

1112001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

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

The square root of 1112001000 is about 33346.6789950664. The cubic root of 1112001000 is about 1036.0206040336.

Adding to 1112001000 its reverse (1002111), we get a palindrome (1113003111).

The spelling of 1112001000 in words is "one billion, one hundred twelve million, one thousand".