Search a number
-
+
1011010000 = 245471113101
BaseRepresentation
bin111100010000101…
…100100111010000
32121110101121222211
4330100230213100
54032304310000
6244153241504
734024305010
oct7420544720
92543347884
101011010000
11479763860
12242703294
131315c3690
14983b5c40
155db587ba
hex3c42c9d0

1011010000 has 400 divisors, whose sum is σ = 3319037568. Its totient is φ = 288000000.

The previous prime is 1011009991. The next prime is 1011010019. The reversal of 1011010000 is 101101.

Adding to 1011010000 its reverse (101101), we get a palindrome (1011111101).

Multipling 1011010000 by its reverse (101101), we get a square (102214122010000 = 101101002).

1011010000 divided by its reverse (101101) gives a 4-th power (10000 = 104).

It can be divided in two parts, 101 and 1010000, that multiplied together give a square (102010000 = 101002).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10009950 + ... + 10010050.

Almost surely, 21011010000 is an apocalyptic number.

1011010000 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 1011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659518784).

1011010000 is an abundant number, since it is smaller than the sum of its proper divisors (2308027568).

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

1011010000 is a wasteful number, since it uses less digits than its factorization.

1011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1011010000 is about 31796.3834421464. The cubic root of 1011010000 is about 1003.6566128849.

The spelling of 1011010000 in words is "one billion, eleven million, ten thousand".