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101102001220220 = 225711135050050011
BaseRepresentation
bin10110111111001110100100…
…110111100110101001111100
3111020222020221022000211001212
4112333032210313212221330
5101222423344303021340
6555005341305223552
730203243561023130
oct2677164467465174
9436866838024055
10101102001220220
112a23a132a68580
12b40a2b3791bb8
134454b54704aa0
141ad7511db13c0
15ba4d65cc4a65
hex5bf3a4de6a7c

101102001220220 has 96 divisors (see below), whose sum is σ = 285065223077376. Its totient is φ = 29088288057600.

The previous prime is 101102001220193. The next prime is 101102001220301. The reversal of 101102001220220 is 22022100201101.

It is a super-2 number, since 2×1011020012202202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101102001220195 and 101102001220204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525004986 + ... + 2525045025.

It is an arithmetic number, because the mean of its divisors is an integer number (2969429407056).

Almost surely, 2101102001220220 is an apocalyptic number.

101102001220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102001220220 is an abundant number, since it is smaller than the sum of its proper divisors (183963221857156).

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

101102001220220 is a wasteful number, since it uses less digits than its factorization.

101102001220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050050051 (or 5050050049 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101102001220220 its reverse (22022100201101), we get a palindrome (123124101421321).

The spelling of 101102001220220 in words is "one hundred one trillion, one hundred two billion, one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 5050050011 10100100022 20200200044 25250250055 35350350077 50500500110 55550550121 65650650143 70700700154 101001000220 111101100242 131301300286 141401400308 176751750385 222202200484 262602600572 277752750605 328253250715 353503500770 388853850847 459554551001 555505501210 656506501430 707007001540 722157151573 777707701694 919109102002 1111011002420 1313013002860 1444314303146 1555415403388 1838218204004 1944269254235 2297772755005 2888628606292 3610785757865 3888538508470 4595545510010 5055100061011 7221571515730 7777077016940 9191091020020 10110200122022 14443143031460 20220400244044 25275500305055 50551000610110 101102001220220