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11031405930 = 2335389105031
BaseRepresentation
bin10100100011000010…
…11110010101101010
31001110210112111002000
422101201132111222
5140043014442210
65022345151430
7540240255216
oct122141362552
931423474060
1011031405930
114750a39606
12217a48b576
13106a5a253c
14769127946
154486e4ac0
hex29185e56a

11031405930 has 64 divisors (see below), whose sum is σ = 29492985600. Its totient is φ = 2934118080.

The previous prime is 11031405929. The next prime is 11031405943. The reversal of 11031405930 is 3950413011.

11031405930 is a `hidden beast` number, since 1 + 1 + 0 + 31 + 40 + 593 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11031405894 and 11031405903.

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, 52515 + ... + 157545.

It is an arithmetic number, because the mean of its divisors is an integer number (460827900).

Almost surely, 211031405930 is an apocalyptic number.

11031405930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 105030×105031.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031405930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14746492800).

11031405930 is an abundant number, since it is smaller than the sum of its proper divisors (18461579670).

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

11031405930 is a wasteful number, since it uses less digits than its factorization.

11031405930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105436 (or 105430 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 11031405930 its reverse (3950413011), we get a palindrome (14981818941).

The spelling of 11031405930 in words is "eleven billion, thirty-one million, four hundred five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 389 778 1167 1945 2334 3501 3890 5835 7002 10503 11670 17505 21006 35010 52515 105030 105031 210062 315093 525155 630186 945279 1050310 1575465 1890558 2835837 3150930 4726395 5671674 9452790 14179185 28358370 40857059 81714118 122571177 204285295 245142354 367713531 408570590 612855885 735427062 1103140593 1225711770 1838567655 2206281186 3677135310 5515702965 11031405930