Search a number
-
+
1011012001110 = 23359901378193
BaseRepresentation
bin11101011011001010000…
…00101101110101010110
310120122121011110001011000
432231211000231311112
5113031023033013420
62052241423524130
7133020551134356
oct16554500556526
93518534401130
101011012001110
1135a849a10361
12143b35a59646
1374451835827
1436d0cb5cb66
151b4733c6690
hexeb6502dd56

1011012001110 has 64 divisors (see below), whose sum is σ = 2696311431360. Its totient is φ = 269575257600.

The previous prime is 1011012001081. The next prime is 1011012001117. The reversal of 1011012001110 is 111002101101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011012001092 and 1011012001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011012001117) 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, 2484174 + ... + 2862366.

It is an arithmetic number, because the mean of its divisors is an integer number (42129866115).

Almost surely, 21011012001110 is an apocalyptic number.

1011012001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011012001110 is an abundant number, since it is smaller than the sum of its proper divisors (1685299430250).

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

1011012001110 is a wasteful number, since it uses less digits than its factorization.

1011012001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388110 (or 388104 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011012001110 its reverse (111002101101), we get a palindrome (1122014102211).

Subtracting from 1011012001110 its reverse (111002101101), we obtain a palindrome (900009900009).

The spelling of 1011012001110 in words is "one trillion, eleven billion, twelve million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 9901 19802 29703 49505 59406 89109 99010 148515 178218 267327 297030 378193 445545 534654 756386 891090 1134579 1336635 1890965 2269158 2673270 3403737 3781930 5672895 6807474 10211211 11345790 17018685 20422422 34037370 51056055 102112110 3744488893 7488977786 11233466679 18722444465 22466933358 33700400037 37444888930 56167333395 67400800074 101101200111 112334666790 168502000185 202202400222 337004000370 505506000555 1011012001110