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101110020220 = 2251110711338011
BaseRepresentation
bin101111000101010100…
…0000111100001111100
3100122222112100012201201
41132022220013201330
53124033131121340
6114241014345244
710206412664026
oct1361250074174
9318875305651
10101110020220
1139975a74790
121771965b224
1396c478b241
144c7264b016
15296b8ee79a
hex178aa0787c

101110020220 has 96 divisors (see below), whose sum is σ = 235873886976. Its totient is φ = 36100377600.

The previous prime is 101110020197. The next prime is 101110020223. The reversal of 101110020220 is 22020011101.

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 = 101110020197 and 101110020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110020223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2641015 + ... + 2679025.

It is an arithmetic number, because the mean of its divisors is an integer number (2457019656).

Almost surely, 2101110020220 is an apocalyptic number.

101110020220 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 101110020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936943488).

101110020220 is an abundant number, since it is smaller than the sum of its proper divisors (134763866756).

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

101110020220 is a wasteful number, since it uses less digits than its factorization.

101110020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38251 (or 38249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101110020220 its reverse (22020011101), we get a palindrome (123130031321).

The spelling of 101110020220 in words is "one hundred one billion, one hundred ten million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 113 214 220 226 428 452 535 565 1070 1130 1177 1243 2140 2260 2354 2486 4708 4972 5885 6215 11770 12091 12430 23540 24182 24860 38011 48364 60455 76022 120910 133001 152044 190055 241820 266002 380110 418121 532004 665005 760220 836242 1330010 1672484 2090605 2660020 4067177 4181210 4295243 8134354 8362420 8590486 16268708 17180972 20335885 21476215 40671770 42952430 44738947 47247673 81343540 85904860 89477894 94495346 178955788 188990692 223694735 236238365 447389470 459591001 472476730 894778940 919182002 944953460 1838364004 2297955005 4595910010 5055501011 9191820020 10111002022 20222004044 25277505055 50555010110 101110020220