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1100001320 = 2351121729461
BaseRepresentation
bin100000110010000…
…1011000000101000
32211122211212010122
41001210023000220
54223100020240
6301052502412
736154566635
oct10144130050
92748755118
101100001320
11514a16300
1226847aa08
13146b81472
14a613d18c
15668864b5
hex4190b028

1100001320 has 192 divisors, whose sum is σ = 2986275600. Its totient is φ = 362700800.

The previous prime is 1100001317. The next prime is 1100001323. The reversal of 1100001320 is 231000011.

1100001320 = 80362 + 80372 + ... + 80522.

It is an interprime number because it is at equal distance from previous prime (1100001317) and next prime (1100001323).

It can be written as a sum of positive squares in 8 ways, for example, as 546904996 + 553096324 = 23386^2 + 23518^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1100001298 and 1100001307.

It is not an unprimeable number, because it can be changed into a prime (1100001323) 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, 2385890 + ... + 2386350.

Almost surely, 21100001320 is an apocalyptic number.

1100001320 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 1100001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493137800).

1100001320 is an abundant number, since it is smaller than the sum of its proper divisors (1886274280).

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

1100001320 is a wasteful number, since it uses less digits than its factorization.

1100001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 525 counting only the distinct ones).

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

The square root of 1100001320 is about 33166.2678032968. The cubic root of 1100001320 is about 1032.2805283682.

Adding to 1100001320 its reverse (231000011), we get a palindrome (1331001331).

The spelling of 1100001320 in words is "one billion, one hundred million, one thousand, three hundred twenty".