Search a number
-
+
1110100101012 = 2233729499310141
BaseRepresentation
bin10000001001110111000…
…111110100011110010100
310221010100210012001122000
4100021313013310132110
5121141441111213022
62205550053435300
7143126213112120
oct20116707643624
93833323161560
101110100101012
11398877626411
1215b18a33bb30
13808b34431c6
143ba2ca46580
151dd225336ac
hex102771f4794

1110100101012 has 192 divisors, whose sum is σ = 3403622745600. Its totient is φ = 306142986240.

The previous prime is 1110100100969. The next prime is 1110100101037. The reversal of 1110100101012 is 2101010010111.

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 = 1110100100985 and 1110100101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109461462 + ... + 109471602.

It is an arithmetic number, because the mean of its divisors is an integer number (17727201800).

Almost surely, 21110100101012 is an apocalyptic number.

1110100101012 is a gapful number since it is divisible by the number (12) 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 1110100101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701811372800).

1110100101012 is an abundant number, since it is smaller than the sum of its proper divisors (2293522644588).

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

1110100101012 is a wasteful number, since it uses less digits than its factorization.

1110100101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15183 (or 15175 counting only the distinct ones).

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

Adding to 1110100101012 its reverse (2101010010111), we get a palindrome (3211110111123).

Subtracting 1110100101012 from its reverse (2101010010111), we obtain a palindrome (990909909099).

The spelling of 1110100101012 in words is "one trillion, one hundred ten billion, one hundred million, one hundred one thousand, twelve".