Search a number
-
+
101000022132 = 223431811081417
BaseRepresentation
bin101111000010000010…
…0100000100001110100
3100122200212100201201110
41132010010200201310
53123322001202012
6114222044555020
710203606010632
oct1360404404164
9318625321643
10101000022132
1139919974579
12176a8852a70
1396a7a56a09
144c61bb6352
152961e2273c
hex1784120874

101000022132 has 48 divisors (see below), whose sum is σ = 242479869632. Its totient is φ = 32702019840.

The previous prime is 101000022121. The next prime is 101000022181. The reversal of 101000022132 is 231220000101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 447313 + ... + 634104.

Almost surely, 2101000022132 is an apocalyptic number.

101000022132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000022132 is an abundant number, since it is smaller than the sum of its proper divisors (141479847500).

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

101000022132 is a wasteful number, since it uses less digits than its factorization.

101000022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081648 (or 1081646 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101000022132 its reverse (231220000101), we get a palindrome (332220022233).

The spelling of 101000022132 in words is "one hundred one billion, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 43 86 129 172 181 258 362 516 543 724 1086 2172 7783 15566 23349 31132 46698 93396 1081417 2162834 3244251 4325668 6488502 12977004 46500931 93001862 139502793 186003724 195736477 279005586 391472954 558011172 587209431 782945908 1174418862 2348837724 8416668511 16833337022 25250005533 33666674044 50500011066 101000022132