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220220212102101 = 321716728331197927
BaseRepresentation
bin110010000100101000000011…
…100000111100001111010101
31001212201211212020000102100200
4302010220003200330033111
5212331041443244231401
62100211434021131113
764246246102331001
oct6204500340741725
91055654766012320
10220220212102101
116419495a669aa2
122084819b559a99
1395b58a51a02c3
143c54a0249b701
151a6d676a60686
hexc84a0383c3d5

220220212102101 has 96 divisors (see below), whose sum is σ = 341118252453888. Its totient is φ = 136423170501120.

The previous prime is 220220212102013. The next prime is 220220212102127. The reversal of 220220212102101 is 101201212022022.

It is a happy number.

220220212102101 is a `hidden beast` number, since 2 + 2 + 0 + 220 + 21 + 210 + 210 + 1 = 666.

It is not a de Polignac number, because 220220212102101 - 217 = 220220211971029 is a prime.

It is a super-2 number, since 2×2202202121021012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220212102301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2248771200 + ... + 2248869126.

It is an arithmetic number, because the mean of its divisors is an integer number (3553315129728).

Almost surely, 2220220212102101 is an apocalyptic number.

It is an amenable number.

220220212102101 is a deficient number, since it is larger than the sum of its proper divisors (120898040351787).

220220212102101 is a wasteful number, since it uses less digits than its factorization.

220220212102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98711 (or 98708 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220220212102101 its reverse (101201212022022), we get a palindrome (321421424124123).

The spelling of 220220212102101 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred twelve million, one hundred two thousand, one hundred one".

Divisors: 1 3 9 17 51 153 167 283 311 501 849 933 1503 2547 2799 2839 4811 5287 8517 14433 15861 25551 43299 47261 47583 51937 88013 97927 141783 155811 264039 293781 425349 467433 792117 803437 881343 882929 1496221 1664759 2410311 2648787 4488663 4994277 7230933 7946361 13465989 14698171 14982831 16353809 27713341 30455297 44094513 49061427 83140023 91365891 132283539 147184281 249420069 249868907 274097673 278014753 471126797 517740049 749606721 834044259 1413380391 1553220147 2248820163 2502132777 4240141173 4628127947 4659660441 5086034599 8618849051 13884383841 15258103797 25856547153 41653151523 45774311391 77569641459 78678175099 86462588183 146520433867 236034525297 259387764549 439561301601 708103575891 778163293647 1318683904803 1439347791517 4318043374551 12954130123653 24468912455789 73406737367367 220220212102101