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101221030344 = 2337859970067
BaseRepresentation
bin101111001000100111…
…1100101100111001000
3100200021021020002222210
41132101033211213020
53124300040432334
6114300021545120
710212231363510
oct1362117454710
9320237202883
10101221030344
1139a226a6295
121774a8751a0
1397117882c5
144c832a6840
15297652b5e9
hex17913e59c8

101221030344 has 64 divisors (see below), whose sum is σ = 289240704000. Its totient is φ = 28916518464.

The previous prime is 101221030343. The next prime is 101221030373. The reversal of 101221030344 is 443030122101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101221030344.

It is not an unprimeable number, because it can be changed into a prime (101221030343) 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, 1409599 + ... + 1479665.

It is an arithmetic number, because the mean of its divisors is an integer number (4519386000).

Almost surely, 2101221030344 is an apocalyptic number.

101221030344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101221030344 is an abundant number, since it is smaller than the sum of its proper divisors (188019673656).

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

101221030344 is a wasteful number, since it uses less digits than its factorization.

101221030344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78682 (or 78678 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101221030344 its reverse (443030122101), we get a palindrome (544251152445).

The spelling of 101221030344 in words is "one hundred one billion, two hundred twenty-one million, thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 8599 17198 25797 34396 51594 60193 68792 70067 103188 120386 140134 180579 206376 210201 240772 280268 361158 420402 481544 490469 560536 722316 840804 980938 1444632 1471407 1681608 1961876 2942814 3923752 5885628 11771256 602506133 1205012266 1807518399 2410024532 3615036798 4217542931 4820049064 7230073596 8435085862 12652628793 14460147192 16870171724 25305257586 33740343448 50610515172 101221030344