Search a number
-
+
1022010011008 = 2771140636173
BaseRepresentation
bin11101101111101001000…
…10110010110110000000
310121200222122010211110221
432313310202302312000
5113221034030323013
62101301021232424
7133560234521230
oct16676442626600
93550878124427
101022010011008
11364483009a38
121460a5102714
13754b52143ac
1437673671cc0
151b8b8bc108d
hexedf48b2d80

1022010011008 has 32 divisors (see below), whose sum is σ = 2326897794960. Its totient is φ = 438004290048.

The previous prime is 1022010010933. The next prime is 1022010011017. The reversal of 1022010011008 is 8001100102201.

1022010011008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1022010010982 and 1022010011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 570317191 + ... + 570318982.

Almost surely, 21022010011008 is an apocalyptic number.

It is an amenable number.

1022010011008 is an abundant number, since it is smaller than the sum of its proper divisors (1304887783952).

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

1022010011008 is an equidigital number, since it uses as much as digits as its factorization.

1022010011008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140636194 (or 1140636182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1022010011008 its reverse (8001100102201), we get a palindrome (9023110113209).

The spelling of 1022010011008 in words is "one trillion, twenty-two billion, ten million, eleven thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1140636173 2281272346 4562544692 7984453211 9125089384 15968906422 18250178768 31937812844 36500357536 63875625688 73000715072 127751251376 146001430144 255502502752 511005005504 1022010011008