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10112020122222 = 2336797223129209
BaseRepresentation
bin1001001100100110001101…
…0111100000101001101110
31022210200220001212001221000
42103021203113200221232
52311133404122402342
633301221541021130
72062366166565024
oct223114327405156
938720801761830
1010112020122222
113249535814927
12117393b0b47a6
13584737026705
1426d5d2728714
1512808457544c
hex932635e0a6e

10112020122222 has 128 divisors (see below), whose sum is σ = 23145170227200. Its totient is φ = 3271372904448.

The previous prime is 10112020122187. The next prime is 10112020122287. The reversal of 10112020122222 is 22222102021101.

It is a happy number.

10112020122222 is a `hidden beast` number, since 101 + 120 + 201 + 22 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10112020122195 and 10112020122204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78196354 + ... + 78325562.

It is an arithmetic number, because the mean of its divisors is an integer number (180821642400).

Almost surely, 210112020122222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112020122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11572585113600).

10112020122222 is an abundant number, since it is smaller than the sum of its proper divisors (13033150104978).

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

10112020122222 is a wasteful number, since it uses less digits than its factorization.

10112020122222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129607 (or 129601 counting only the distinct ones).

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

Adding to 10112020122222 its reverse (22222102021101), we get a palindrome (32334122143323).

The spelling of 10112020122222 in words is "ten trillion, one hundred twelve billion, twenty million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 67 97 134 194 201 223 291 402 446 582 603 669 873 1206 1338 1746 1809 2007 2619 3618 4014 5238 6021 6499 12042 12998 14941 19497 21631 29882 38994 43262 44823 58491 64893 89646 116982 129209 129786 134469 175473 194679 258418 268938 350946 387627 389358 403407 584037 775254 806814 1162881 1168074 1449277 2325762 2898554 3488643 4347831 6977286 8657003 8695662 12533273 13043493 17314006 25066546 25971009 26086986 28813607 37599819 39130479 51942018 57627214 75199638 77913027 78260958 86440821 112799457 155826054 172881642 225598914 233739081 259322463 338398371 467478162 518644926 676796742 777967389 839729291 1555934778 1679458582 1930511669 2519187873 2794919879 3861023338 5038375746 5589839758 5791535007 7557563619 8384759637 11583070014 15115127238 16769519274 17374605021 22672690857 25154278911 34749210042 45345381714 50308557822 52123815063 75462836733 104247630126 150925673466 187259631893 374519263786 561778895679 1123557791358 1685336687037 3370673374074 5056010061111 10112020122222