Search a number
-
+
2122022002212 = 2232731306188741
BaseRepresentation
bin11110111000010010010…
…111100001111000100100
321111212022100202211001100
4132320102113201320210
5234231400113032322
64302502104000100
7306211453260450
oct36702227417044
97455270684040
102122022002212
11748a43110112
122a3318a60030
1312514b62a648
14749c657b660
153a2ea73edac
hex1ee125e1e24

2122022002212 has 144 divisors (see below), whose sum is σ = 6330175581184. Its totient is φ = 586535904000.

The previous prime is 2122022002189. The next prime is 2122022002231. The reversal of 2122022002212 is 2122002202212.

2122022002212 is a `hidden beast` number, since 2 + 1 + 220 + 220 + 0 + 221 + 2 = 666.

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

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, 23868162 + ... + 23956902.

Almost surely, 22122022002212 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 2122022002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165087790592).

2122022002212 is an abundant number, since it is smaller than the sum of its proper divisors (4208153578972).

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

2122022002212 is a wasteful number, since it uses less digits than its factorization.

2122022002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91850 (or 91845 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122022002212 its reverse (2122002202212), we get a palindrome (4244024204424).

The spelling of 2122022002212 in words is "two trillion, one hundred twenty-two billion, twenty-two million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3061 3906 6122 7812 9183 12244 18366 21427 27549 36732 42854 55098 64281 85708 88741 94891 110196 128562 177482 189782 192843 257124 266223 284673 354964 379564 385686 532446 569346 621187 664237 771372 798669 854019 1064892 1138692 1242374 1328474 1597338 1708038 1863561 1992711 2484748 2656948 2750971 3194676 3416076 3727122 3985422 5501942 5590683 5978133 7454244 7970844 8252913 11003884 11181366 11956266 16505826 19256797 22362732 23912532 24758739 33011652 38513594 49517478 57770391 77027188 99034956 115540782 173311173 231081564 271636201 346622346 543272402 693244692 814908603 1086544804 1629817206 1901453407 2444725809 3259634412 3802906814 4889451618 5704360221 7605813628 8420722231 9778903236 11408720442 16841444462 17113080663 22817440884 25262166693 33682888924 34226161326 50524333386 58945055617 68452322652 75786500079 101048666772 117890111234 151573000158 176835166851 235780222468 303146000316 353670333702 530505500553 707340667404 1061011001106 2122022002212