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11060000100 = 223252411931553
BaseRepresentation
bin10100100110011101…
…00011010101100100
31001112210100012220100
422103032203111210
5140122330000400
65025250104100
7541035310152
oct122316432544
931483305810
1011060000100
114766099856
122187b7b030
1310734a4676
1476cc4c3d2
1544ae92100
hex2933a3564

11060000100 has 216 divisors, whose sum is σ = 35719479432. Its totient is φ = 2860646400.

The previous prime is 11060000071. The next prime is 11060000101. The reversal of 11060000100 is 100006011.

It can be written as a sum of positive squares in 12 ways, for example, as 9474686244 + 1585313856 = 97338^2 + 39816^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11060000101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7120924 + ... + 7122476.

Almost surely, 211060000100 is an apocalyptic number.

11060000100 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 11060000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859739716).

11060000100 is an abundant number, since it is smaller than the sum of its proper divisors (24659479332).

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

11060000100 is a wasteful number, since it uses less digits than its factorization.

11060000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11060000100 its reverse (100006011), we get a palindrome (11160006111).

The spelling of 11060000100 in words is "eleven billion, sixty million, one hundred", and thus it is an aban number.