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100244422000 = 2453591675087
BaseRepresentation
bin101110101011100001…
…0000111110101110000
3100120202012120021012101
41131113002013311300
53120300033001000
6114015053510144
710146102346042
oct1352702076560
9316665507171
10100244422000
11395713a9a58
12175177a2354
1395b734b248
144bcd6c7a92
15291a91ae6a
hex1757087d70

100244422000 has 160 divisors (see below), whose sum is σ = 248024125440. Its totient is φ = 39174406400.

The previous prime is 100244421973. The next prime is 100244422007. The reversal of 100244422000 is 224442001.

It is a super-2 number, since 2×1002444220002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100244422007) 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 31 ways as a sum of consecutive naturals, for example, 19703457 + ... + 19708543.

It is an arithmetic number, because the mean of its divisors is an integer number (1550150784).

Almost surely, 2100244422000 is an apocalyptic number.

100244422000 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 100244422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124012062720).

100244422000 is an abundant number, since it is smaller than the sum of its proper divisors (147779703440).

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

100244422000 is a wasteful number, since it uses less digits than its factorization.

100244422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 100244422000 its reverse (224442001), we get a palindrome (100468864001).

The spelling of 100244422000 in words is "one hundred billion, two hundred forty-four million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 167 200 236 250 295 334 400 472 500 590 668 835 944 1000 1180 1336 1475 1670 2000 2360 2672 2950 3340 4175 4720 5087 5900 6680 7375 8350 9853 10174 11800 13360 14750 16700 19706 20348 20875 23600 25435 29500 33400 39412 40696 41750 49265 50870 59000 66800 78824 81392 83500 98530 101740 118000 127175 157648 167000 197060 203480 246325 254350 300133 334000 394120 406960 492650 508700 600266 635875 788240 849529 985300 1017400 1200532 1231625 1271750 1500665 1699058 1970600 2034800 2401064 2463250 2543500 3001330 3398116 3941200 4247645 4802128 4926500 5087000 6002660 6796232 7503325 8495290 9853000 10174000 12005320 13592464 15006650 16990580 19706000 21238225 24010640 30013300 33981160 37516625 42476450 50122211 60026600 67962320 75033250 84952900 100244422 106191125 120053200 150066500 169905800 200488844 212382250 250611055 300133000 339811600 400977688 424764500 501222110 600266000 801955376 849529000 1002444220 1253055275 1699058000 2004888440 2506110550 4009776880 5012221100 6265276375 10024442200 12530552750 20048884400 25061105500 50122211000 100244422000