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102442443000 = 2335334147481
BaseRepresentation
bin101111101101000001…
…0111010000011111000
3100210102101112022011120
41133122002322003320
53134300231134000
6115021133025240
710254422253402
oct1373202720370
9323371468146
10102442443000
113a49a0a7737
1217a2b925220
139877838ba1
144d5b5abb72
1529e88966a0
hex17da0ba0f8

102442443000 has 64 divisors (see below), whose sum is σ = 319620431520. Its totient is φ = 27317984000.

The previous prime is 102442442959. The next prime is 102442443007. The reversal of 102442443000 is 344244201.

It is a happy number.

It is a super-3 number, since 3×1024424430003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102442443007) 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, 17070741 + ... + 17076740.

Almost surely, 2102442443000 is an apocalyptic number.

102442443000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102442443000 is an abundant number, since it is smaller than the sum of its proper divisors (217177988520).

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

102442443000 is a wasteful number, since it uses less digits than its factorization.

102442443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34147505 (or 34147491 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102442443000 its reverse (344244201), we get a palindrome (102786687201).

The spelling of 102442443000 in words is "one hundred two billion, four hundred forty-two million, four hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 34147481 68294962 102442443 136589924 170737405 204884886 273179848 341474810 409769772 512212215 682949620 819539544 853687025 1024424430 1365899240 1707374050 2048848860 2561061075 3414748100 4097697720 4268435125 5122122150 6829496200 8536870250 10244244300 12805305375 17073740500 20488488600 25610610750 34147481000 51221221500 102442443000