Search a number
-
+
212310311133222 = 23417415153364891
BaseRepresentation
bin110000010001100001011000…
…101011010110000000100110
31000211201200000121212000210000
4300101201120223112000212
5210311443004122230342
62031314002132042130
762501625300413451
oct6021413053260046
91024650017760700
10212310311133222
116171532a797455
121b98b1b1763346
139160a12a92c13
143a5dc33d38498
151982a299d944c
hexc11858ad6026

212310311133222 has 160 divisors (see below), whose sum is σ = 516103942473504. Its totient is φ = 64969802956800.

The previous prime is 212310311133197. The next prime is 212310311133233. The reversal of 212310311133222 is 222331113013212.

212310311133222 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 10 + 311 + 1 + 332 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 581663397 + ... + 582028287.

Almost surely, 2212310311133222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212310311133222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258051971236752).

212310311133222 is an abundant number, since it is smaller than the sum of its proper divisors (303793631340282).

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

212310311133222 is a wasteful number, since it uses less digits than its factorization.

212310311133222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370116 (or 370107 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212310311133222 its reverse (222331113013212), we get a palindrome (434641424146434).

The spelling of 212310311133222 in words is "two hundred twelve trillion, three hundred ten billion, three hundred eleven million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 81 82 102 123 153 162 246 306 369 459 697 738 918 1107 1377 1394 2091 2214 2754 3321 4182 5153 6273 6642 10306 12546 15459 18819 30918 37638 46377 56457 87601 92754 112914 139131 175202 211273 262803 278262 364891 417393 422546 525606 633819 729782 788409 834786 1094673 1267638 1576818 1901457 2189346 2365227 3284019 3591641 3802914 4730454 5704371 6203147 6568038 7095681 7183282 9852057 10774923 11408742 12406294 14191362 14960531 17113113 18609441 19704114 21549846 29556171 29921062 32324769 34226226 37218882 44881593 55828323 59112342 64649538 89763186 96974307 111656646 134644779 167484969 193948614 254329027 269289558 290922921 334969938 403934337 502454907 508658054 581845842 762987081 807868674 1004909814 1211803011 1525974162 1880283323 2288961243 2423606022 3760566646 4577922486 5640849969 6866883729 11281699938 13733767458 16922549907 20600651187 31964816491 33845099814 41201302374 50767649721 63929632982 77091616243 95894449473 101535299442 152302949163 154183232486 191788898946 231274848729 287683348419 304605898326 462549697458 575366696838 693824546187 863050045257 1310557476131 1387649092374 1726100090514 2081473638561 2589150135771 2621114952262 3931672428393 4162947277122 5178300271542 6244420915683 7863344856786 11795017285179 12488841831366 23590034570358 35385051855537 70770103711074 106155155566611 212310311133222