Search a number
-
+
112210212201984 = 2932131873167271
BaseRepresentation
bin11001100000110111111001…
…110101101010011000000000
3112201022012011121201221002200
4121200313321311222120000
5104201423003310430414
61034352354305513200
732430630443331351
oct3140677165523000
9481265147657080
10112210212201984
11328320a1523726
1210703111042800
134a7c4ba7ac360
141d9d008cb1d28
15ce8ca248c109
hex660df9d6a600

112210212201984 has 120 divisors (see below), whose sum is σ = 348757521704592. Its totient is φ = 34526219120640.

The previous prime is 112210212201979. The next prime is 112210212202001. The reversal of 112210212201984 is 489102212012211.

112210212201984 is a `hidden beast` number, since 1 + 1 + 221 + 0 + 21 + 220 + 198 + 4 = 666.

It is a super-2 number, since 2×1122102122019842 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 936523732 + ... + 936643539.

Almost surely, 2112210212201984 is an apocalyptic number.

It is an amenable number.

112210212201984 is an abundant number, since it is smaller than the sum of its proper divisors (236547309502608).

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

112210212201984 is a wasteful number, since it uses less digits than its factorization.

112210212201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873167308 (or 1873167289 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 112210212201984 in words is "one hundred twelve trillion, two hundred ten billion, two hundred twelve million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7488 9984 14976 19968 29952 59904 1873167271 3746334542 5619501813 7492669084 11239003626 14985338168 16858505439 22478007252 24351174523 29970676336 33717010878 44956014504 48702349046 59941352672 67434021756 73053523569 89912029008 97404698092 119882705344 134868043512 146107047138 179824058016 194809396184 219160570707 239765410688 269736087024 292214094276 359648116032 389618792368 438321141414 479530821376 539472174048 584428188552 719296232064 779237584736 876642282828 959061642752 1078944348096 1168856377104 1438592464128 1558475169472 1753284565656 2157888696192 2337712754208 2877184928256 3116950338944 3506569131312 4315777392384 4675425508416 6233900677888 7013138262624 8631554784768 9350851016832 12467801355776 14026276525248 18701702033664 28052553050496 37403404067328 56105106100992 112210212201984