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101134022444 = 227131277217573
BaseRepresentation
bin101111000110000001…
…1101011011100101100
3100200001012111122120222
41132030003223130230
53124110302204234
6114243233030512
710210124002250
oct1361403533454
9320035448528
10101134022444
1139988578a34
12177256b5438
1396c9743240
144c758d8260
15296da9142e
hex178c0eb72c

101134022444 has 48 divisors (see below), whose sum is σ = 217998704448. Its totient is φ = 39977549568.

The previous prime is 101134022441. The next prime is 101134022449. The reversal of 101134022444 is 444220431101.

101134022444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (101134022441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356042 + ... + 573614.

It is an arithmetic number, because the mean of its divisors is an integer number (4541639676).

Almost surely, 2101134022444 is an apocalyptic number.

101134022444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101134022444 is an abundant number, since it is smaller than the sum of its proper divisors (116864682004).

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

101134022444 is a wasteful number, since it uses less digits than its factorization.

101134022444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218874 (or 218872 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 101134022444 its reverse (444220431101), we get a palindrome (545354453545).

The spelling of 101134022444 in words is "one hundred one billion, one hundred thirty-four million, twenty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 1277 2554 5108 8939 16601 17878 33202 35756 66404 116207 217573 232414 435146 464828 870292 1523011 2828449 3046022 5656898 6092044 11313796 19799143 39598286 79196572 277840721 555681442 1111362884 1944885047 3611929373 3889770094 7223858746 7779540188 14447717492 25283505611 50567011222 101134022444