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2220011202012 = 22317197151136559
BaseRepresentation
bin100000010011100010111…
…110101010010111011100
321212020020101201220222120
4200103202332222113130
5242333040331431022
64415505320342540
7316250642602632
oct40234276522734
97766211656876
102220011202012
117865574a226a
122ba305314a50
13131466680b86
1479640531352
153cb33181d5c
hex204e2faa5dc

2220011202012 has 96 divisors (see below), whose sum is σ = 5516374026240. Its totient is φ = 692461163520.

The previous prime is 2220011201999. The next prime is 2220011202041. The reversal of 2220011202012 is 2102021100222.

2220011202012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2220011201982 and 2220011202000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60705789 + ... + 60742347.

It is an arithmetic number, because the mean of its divisors is an integer number (57462229440).

Almost surely, 22220011202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220011202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758187013120).

2220011202012 is an abundant number, since it is smaller than the sum of its proper divisors (3296362824228).

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

2220011202012 is a wasteful number, since it uses less digits than its factorization.

2220011202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38291 (or 38289 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2220011202012 its reverse (2102021100222), we get a palindrome (4322032302234).

The spelling of 2220011202012 in words is "two trillion, two hundred twenty billion, eleven million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 197 204 394 591 788 1182 1511 2364 3022 3349 4533 6044 6698 9066 10047 13396 18132 20094 25687 36559 40188 51374 73118 77061 102748 109677 146236 154122 219354 297667 308244 438708 595334 621503 893001 1190668 1243006 1786002 1864509 2486012 3572004 3729018 5060339 7202123 7458036 10120678 14404246 15181017 20241356 21606369 28808492 30362034 43212738 55240649 60724068 86425476 110481298 122436091 165721947 220962596 244872182 331443894 367308273 489744364 662887788 734616546 939091033 1469233092 1878182066 2817273099 3756364132 5634546198 10882407853 11269092396 21764815706 32647223559 43529631412 65294447118 130588894236 185000933501 370001867002 555002800503 740003734004 1110005601006 2220011202012