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111303010020 = 223537151133181
BaseRepresentation
bin110011110101000101…
…1010010011011100100
3101122021220020202002110
41213222023102123210
53310422032310040
6123044253441020
711020122655326
oct1475213223344
9348256222073
10111303010020
11432267138a4
12196a31a0170
13a65a449c57
14555c289616
152d666ce980
hex19ea2d26e4

111303010020 has 96 divisors (see below), whose sum is σ = 320292838656. Its totient is φ = 28858636800.

The previous prime is 111303009989. The next prime is 111303010031. The reversal of 111303010020 is 20010303111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111303009978 and 111303010005.

It is an unprimeable number.

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, 3337830 + ... + 3371010.

It is an arithmetic number, because the mean of its divisors is an integer number (3336383736).

Almost surely, 2111303010020 is an apocalyptic number.

111303010020 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 111303010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160146419328).

111303010020 is an abundant number, since it is smaller than the sum of its proper divisors (208989828636).

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

111303010020 is a wasteful number, since it uses less digits than its factorization.

111303010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34741 (or 34739 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 111303010020 its reverse (20010303111), we get a palindrome (131313313131).

The spelling of 111303010020 in words is "one hundred eleven billion, three hundred three million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1511 2220 3022 4533 6044 7555 9066 15110 18132 22665 30220 33181 45330 55907 66362 90660 99543 111814 132724 165905 167721 199086 223628 279535 331810 335442 398172 497715 559070 663620 670884 838605 995430 1118140 1227697 1677210 1990860 2455394 3354420 3683091 4910788 6138485 7366182 12276970 14732364 18415455 24553940 36830910 50136491 73661820 100272982 150409473 200545964 250682455 300818946 501364910 601637892 752047365 1002729820 1504094730 1855050167 3008189460 3710100334 5565150501 7420200668 9275250835 11130301002 18550501670 22260602004 27825752505 37101003340 55651505010 111303010020