Search a number
-
+
10055005510 = 25118910110169
BaseRepresentation
bin10010101110101001…
…10011010101000110
3221221202021012111111
421113110303111012
5131043040134020
64341425355234
7504113064604
oct112724632506
927852235444
1010055005510
11429a874510
121b47498b1a
13c43209004
146b55a0874
153dcb25d5a
hex257533546

10055005510 has 64 divisors (see below), whose sum is σ = 20165889600. Its totient is φ = 3579136000.

The previous prime is 10055005507. The next prime is 10055005511. The reversal of 10055005510 is 1550055001.

10055005510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100550055102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055005511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983706 + ... + 993874.

It is an arithmetic number, because the mean of its divisors is an integer number (315092025).

Almost surely, 210055005510 is an apocalyptic number.

10055005510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10055005510 is an abundant number, since it is smaller than the sum of its proper divisors (10110884090).

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

10055005510 is a wasteful number, since it uses less digits than its factorization.

10055005510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377.

The product of its (nonzero) digits is 625, while the sum is 22.

The spelling of 10055005510 in words is "ten billion, fifty-five million, five thousand, five hundred ten".

Divisors: 1 2 5 10 11 22 55 89 101 110 178 202 445 505 890 979 1010 1111 1958 2222 4895 5555 8989 9790 10169 11110 17978 20338 44945 50845 89890 98879 101690 111859 197758 223718 494395 559295 905041 988790 1027069 1118590 1810082 2054138 4525205 5135345 9050410 9955451 10270690 11297759 19910902 22595518 49777255 56488795 91409141 99554510 112977590 182818282 457045705 914091410 1005500551 2011001102 5027502755 10055005510