Search a number
-
+
1010101010000 = 2454412719091
BaseRepresentation
bin11101011001011101011…
…01100011111001010000
310120120020200020220021112
432230232231203321100
5113022141324310000
62052011202112452
7132656146630535
oct16545655437120
93516220226245
101010101010000
1135a421761245
1214392094b728
1374337b91434
1436c63b80d8c
151b41d428235
hexeb2eb63e50

1010101010000 has 200 divisors, whose sum is σ = 2514724130688. Its totient is φ = 392688000000.

The previous prime is 1010101009963. The next prime is 1010101010027. The reversal of 1010101010000 is 101010101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111105455 + ... + 111114545.

Almost surely, 21010101010000 is an apocalyptic number.

1010101010000 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 1010101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257362065344).

1010101010000 is an abundant number, since it is smaller than the sum of its proper divisors (1504623120688).

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

1010101010000 is an equidigital number, since it uses as much as digits as its factorization.

1010101010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1010101010000 its reverse (101010101), we get a palindrome (1010202020101).

1010101010000 divided by its reverse (101010101) gives a 4-th power (10000 = 104).

The spelling of 1010101010000 in words is "one trillion, ten billion, one hundred one million, ten thousand".