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214103204112 = 24376126339719
BaseRepresentation
bin1100011101100110001…
…0111010000100010000
3202110122012221200111110
43013121202322010100
512001440410012422
6242205130413320
721316451131110
oct3073142720420
9673565850443
10214103204112
118288974a196
12355b2891240
1317261124075
14a511181040
15588169160c
hex31d98ba110

214103204112 has 160 divisors (see below), whose sum is σ = 644935864320. Its totient is φ = 59939228160.

The previous prime is 214103204069. The next prime is 214103204113. The reversal of 214103204112 is 211402301412.

It is a super-2 number, since 2×2141032041122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (214103204113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5370589 + ... + 5410307.

It is an arithmetic number, because the mean of its divisors is an integer number (4030849152).

Almost surely, 2214103204112 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 214103204112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322467932160).

214103204112 is an abundant number, since it is smaller than the sum of its proper divisors (430832660208).

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

214103204112 is a wasteful number, since it uses less digits than its factorization.

214103204112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40061 (or 40055 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 214103204112 its reverse (211402301412), we get a palindrome (425505505524).

The spelling of 214103204112 in words is "two hundred fourteen billion, one hundred three million, two hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 263 336 366 427 488 526 732 789 854 976 1052 1281 1464 1578 1708 1841 2104 2562 2928 3156 3416 3682 4208 5124 5523 6312 6832 7364 10248 11046 12624 14728 16043 20496 22092 29456 32086 39719 44184 48129 64172 79438 88368 96258 112301 119157 128344 158876 192516 224602 238314 256688 278033 317752 336903 385032 449204 476628 556066 635504 673806 770064 834099 898408 953256 1112132 1347612 1668198 1796816 1906512 2224264 2422859 2695224 3336396 4448528 4845718 5390448 6672792 7268577 9691436 10446097 13345584 14537154 16960013 19382872 20892194 29074308 31338291 33920026 38765744 41784388 50880039 58148616 62676582 67840052 73122679 83568776 101760078 116297232 125353164 135680104 146245358 167137552 203520156 219368037 250706328 271360208 292490716 407040312 438736074 501412656 584981432 637211917 814080624 877472148 1169962864 1274423834 1754944296 1911635751 2548847668 3509888592 3823271502 4460483419 5097695336 7646543004 8920966838 10195390672 13381450257 15293086008 17841933676 26762900514 30586172016 35683867352 53525801028 71367734704 107051602056 214103204112