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1100001120 = 253537241257
BaseRepresentation
bin100000110010000…
…1010111101100000
32211122211211212020
41001210022331200
54223100013440
6301052501440
736154566231
oct10144127540
92748754766
101100001120
11514a16139
1226847a880
13146b8134a
14a613d088
15668863d0
hex4190af60

1100001120 has 192 divisors, whose sum is σ = 3587322816. Its totient is φ = 283115520.

The previous prime is 1100001101. The next prime is 1100001121. The reversal of 1100001120 is 211000011.

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 junction number, because it is equal to n+sod(n) for n = 1100001099 and 1100001108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4280032 + ... + 4280288.

It is an arithmetic number, because the mean of its divisors is an integer number (18683973).

Almost surely, 21100001120 is an apocalyptic number.

1100001120 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 1100001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793661408).

1100001120 is an abundant number, since it is smaller than the sum of its proper divisors (2487321696).

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

1100001120 is a wasteful number, since it uses less digits than its factorization.

1100001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

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

The square root of 1100001120 is about 33166.2647881850. The cubic root of 1100001120 is about 1032.2804658059.

Adding to 1100001120 its reverse (211000011), we get a palindrome (1311001131).

The spelling of 1100001120 in words is "one billion, one hundred million, one thousand, one hundred twenty".