Search a number
-
+
110001001011000 = 2335311191083716189
BaseRepresentation
bin11001000000101110011010…
…100101110001011100111000
3112102110222210220010102001120
4121000232122211301130320
5103404224022224323000
61025541432350545240
732112211231131141
oct3100563245613470
9472428726112046
10110001001011000
1132060187394610
1210406b20808220
13494c0857a3868
141d24110c72ac8
15cab5a25436a0
hex640b9a971738

110001001011000 has 512 divisors, whose sum is σ = 394169563008000. Its totient is φ = 25259496192000.

The previous prime is 110001001010983. The next prime is 110001001011017. The reversal of 110001001011000 is 110100100011.

110001001011000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (110001001010983) and next prime (110001001011017).

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 110001001011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6794790906 + ... + 6794807094.

It is an arithmetic number, because the mean of its divisors is an integer number (769862427750).

Almost surely, 2110001001011000 is an apocalyptic number.

110001001011000 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 110001001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197084781504000).

110001001011000 is an abundant number, since it is smaller than the sum of its proper divisors (284168561997000).

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

110001001011000 is a wasteful number, since it uses less digits than its factorization.

110001001011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27080 (or 27066 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110001001011000 its reverse (110100100011), we get a palindrome (110111101111011).

The spelling of 110001001011000 in words is "one hundred ten trillion, one billion, one million, eleven thousand".