Search a number
-
+
211112021002212 = 22321112971642125031
BaseRepresentation
bin110000000000000101011001…
…000001010000011111100100
31000200111010000201120021002200
4300000011121001100133210
5210132324404334032322
62024555305031534500
762316224453355261
oct6000053101203744
91020433021507080
10211112021002212
11612a31181a4230
121b816b1082a430
1390a4a167cb815
143a1bc3a944268
151961794ea18ac
hexc001590507e4

211112021002212 has 144 divisors (see below), whose sum is σ = 582664996577664. Its totient is φ = 63917569152000.

The previous prime is 211112021001961. The next prime is 211112021002247. The reversal of 211112021002212 is 212200120211112.

211112021002212 is a `hidden beast` number, since 2 + 111 + 120 + 210 + 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, 8434010137 + ... + 8434035167.

It is an arithmetic number, because the mean of its divisors is an integer number (4046284698456).

Almost surely, 2211112021002212 is an apocalyptic number.

211112021002212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211112021002212 is an abundant number, since it is smaller than the sum of its proper divisors (371552975575452).

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

211112021002212 is a wasteful number, since it uses less digits than its factorization.

211112021002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42770 (or 42765 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211112021002212 its reverse (212200120211112), we get a palindrome (423312141213324).

The spelling of 211112021002212 in words is "two hundred eleven trillion, one hundred twelve billion, twenty-one million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1297 2594 3891 5188 7782 11673 14267 15564 16421 23346 25031 28534 32842 42801 46692 49263 50062 57068 65684 75093 85602 98526 100124 128403 147789 150186 171204 180631 197052 225279 256806 275341 295578 300372 361262 450558 513612 541893 550682 591156 722524 826023 901116 1083786 1101364 1625679 1652046 2167572 2478069 3251358 3304092 4956138 6502716 9912276 21298037 32465207 42596074 63894111 64930414 85192148 97395621 127788222 129860828 191682333 194791242 234278407 255576444 292186863 357117277 383364666 389582484 411034051 468556814 584373726 702835221 714234554 766729332 822068102 937113628 1071351831 1168747452 1233102153 1405670442 1428469108 1644136204 2108505663 2142703662 2466204306 2811340884 3214055493 3699306459 4217011326 4285407324 4521374561 4932408612 6428110986 7398612918 8434022652 9042749122 12856221972 13564123683 14797225836 18085498244 27128247366 40692371049 54256494732 81384742098 162769484196 533111164147 1066222328294 1599333492441 2132444656588 3198666984882 4798000477323 5864222805617 6397333969764 9596000954646 11728445611234 17592668416851 19192001909292 23456891222468 35185336833702 52778005250553 70370673667404 105556010501106 211112021002212