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110000020220020 = 225737138115376919
BaseRepresentation
bin11001000000101101100000…
…001000010110100001110100
3112102110220021112121001202201
4121000231200020112201310
5103404220020134020040
61025541151153114244
732112145021423210
oct3100554010264164
9472426245531681
10110000020220020
113205a8237a0857
12104068a8258984
13494bc5a530a78
141d2405a8c5940
15cab5463a8a9a
hex640b60216874

110000020220020 has 96 divisors (see below), whose sum is σ = 271331535121920. Its totient is φ = 36668413739520.

The previous prime is 110000020220011. The next prime is 110000020220021. The reversal of 110000020220020 is 20022020000011.

It is a super-4 number, since 4×1100000202200204 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110000020219979 and 110000020220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000020220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534880 + ... + 14842039.

It is an arithmetic number, because the mean of its divisors is an integer number (2826370157520).

Almost surely, 2110000020220020 is an apocalyptic number.

110000020220020 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 110000020220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135665767560960).

110000020220020 is an abundant number, since it is smaller than the sum of its proper divisors (161331514901900).

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

110000020220020 is a wasteful number, since it uses less digits than its factorization.

110000020220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15378353 (or 15378351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 110000020220020 its reverse (20022020000011), we get a palindrome (130022040220031).

The spelling of 110000020220020 in words is "one hundred ten trillion, twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 1381 2590 2762 5180 5524 6905 9667 13810 19334 27620 38668 48335 51097 96670 102194 193340 204388 255485 357679 510970 715358 1021940 1430716 1788395 3576790 7153580 15376919 30753838 61507676 76884595 107638433 153769190 215276866 307538380 430553732 538192165 568946003 1076384330 1137892006 2152768660 2275784012 2844730015 3982622021 5689460030 7965244042 11378920060 15930488084 19913110105 21235525139 39826220210 42471050278 79652440420 84942100556 106177625695 148648675973 212355251390 297297351946 424710502780 594594703892 743243379865 785714430143 1486486759730 1571428860286 2972973519460 3142857720572 3928572150715 5500001011001 7857144301430 11000002022002 15714288602860 22000004044004 27500005055005 55000010110010 110000020220020