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102211110220212 = 22327792751166853
BaseRepresentation
bin10111001111010111100000…
…111010101011000110110100
3111101220021202000021201200200
4113033113200322223012310
5101344111323204021322
61001215045200240500
730346336411000020
oct2717274072530664
9441807660251620
10102211110220212
112a627541099034
12b569246010130
13450560a705486
141b35089145380
15bc3b2b2d38ac
hex5cf5e0eab1b4

102211110220212 has 72 divisors (see below), whose sum is σ = 295313795876736. Its totient is φ = 29199489764544.

The previous prime is 102211110220201. The next prime is 102211110220213. The reversal of 102211110220212 is 212022011112201.

102211110220212 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 1 + 10 + 220 + 212 = 666.

It is a super-2 number, since 2×1022111102202122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211110220213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23585823 + ... + 27581030.

It is an arithmetic number, because the mean of its divisors is an integer number (4101580498288).

Almost surely, 2102211110220212 is an apocalyptic number.

102211110220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211110220212 is an abundant number, since it is smaller than the sum of its proper divisors (193102685656524).

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

102211110220212 is a wasteful number, since it uses less digits than its factorization.

102211110220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51174797 (or 51174792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102211110220212 its reverse (212022011112201), we get a palindrome (314233121332413).

The spelling of 102211110220212 in words is "one hundred two trillion, two hundred eleven billion, one hundred ten million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 7927 15854 23781 31708 47562 55489 71343 95124 110978 142686 166467 221956 285372 332934 499401 665868 998802 1997604 51166853 102333706 153500559 204667412 307001118 358167971 460501677 614002236 716335942 921003354 1074503913 1432671884 1842006708 2149007826 3223511739 4298015652 6447023478 12894046956 405599643731 811199287462 1216798931193 1622398574924 2433597862386 2839197506117 3650396793579 4867195724772 5678395012234 7300793587158 8517592518351 11356790024468 14601587174316 17035185036702 25552777555053 34070370073404 51105555110106 102211110220212