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122101212010986 = 23513151127986277
BaseRepresentation
bin11011110000110011100111…
…010111100101100111101010
3121000022202120101212202200000
4123300303213113211213222
5112001001240233322421
61111404304502323430
734501343600452365
oct3360634727454752
9530282511782600
10122101212010986
11359a591900a96a
1211840048a29576
13531913060bc30
142221a319190dc
15e1b1ece7c226
hex6f0ce75e59ea

122101212010986 has 96 divisors (see below), whose sum is σ = 297411441145728. Its totient is φ = 37320798081600.

The previous prime is 122101212010951. The next prime is 122101212010993. The reversal of 122101212010986 is 689010212101221.

It is a self number, because there is not a number n which added to its sum of digits gives 122101212010986.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63039121 + ... + 64947156.

It is an arithmetic number, because the mean of its divisors is an integer number (3098035845268).

Almost surely, 2122101212010986 is an apocalyptic number.

122101212010986 is an abundant number, since it is smaller than the sum of its proper divisors (175310229134742).

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

122101212010986 is a wasteful number, since it uses less digits than its factorization.

122101212010986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127986458 (or 127986446 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 122101212010986 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twelve million, ten thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 151 162 234 243 302 351 453 486 702 906 1053 1359 1963 2106 2718 3159 3926 4077 5889 6318 8154 11778 12231 17667 24462 35334 36693 53001 73386 106002 159003 318006 477009 954018 127986277 255972554 383958831 767917662 1151876493 1663821601 2303752986 3327643202 3455629479 4991464803 6911258958 9982929606 10366888437 14974394409 19325927827 20733776874 29948788818 31100665311 38651855654 44923183227 57977783481 62201330622 89846366454 115955566962 134769549681 173933350443 251237061751 269539099362 347866700886 404308649043 502474123502 521800051329 753711185253 808617298086 1043600102658 1507422370506 1565400153987 2261133555759 3130800307974 4522267111518 4696200461961 6783400667277 9392400923922 13566801334554 20350202001831 40700404003662 61050606005493 122101212010986