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10213103010312 = 233371897482653
BaseRepresentation
bin1001010010011110110001…
…1000001000001000001000
31100011100210201010211101000
42110213230120020020020
52314312413332312222
633415500150055000
72102605133136456
oct224475430101010
940140721124330
1010213103010312
113288397437864
12118b44b64a460
13591125ca5127
142744615119d6
1512a9ed8b59ac
hex949ec608208

10213103010312 has 128 divisors (see below), whose sum is σ = 29092558752000. Its totient is φ = 3318705815040.

The previous prime is 10213103010311. The next prime is 10213103010323. The reversal of 10213103010312 is 21301030131201.

10213103010312 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 310 + 30 + 10 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10213103010311) 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, 2376423 + ... + 5106230.

It is an arithmetic number, because the mean of its divisors is an integer number (227285615250).

Almost surely, 210213103010312 is an apocalyptic number.

10213103010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10213103010312 is an abundant number, since it is smaller than the sum of its proper divisors (18879455741688).

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

10213103010312 is a wasteful number, since it uses less digits than its factorization.

10213103010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482828 (or 7482818 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10213103010312 its reverse (21301030131201), we get a palindrome (31514133141513).

The spelling of 10213103010312 in words is "ten trillion, two hundred thirteen billion, one hundred three million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 89 108 142 178 213 216 267 284 356 426 534 568 639 712 801 852 1068 1278 1602 1704 1917 2136 2403 2556 3204 3834 4806 5112 6319 6408 7668 9612 12638 15336 18957 19224 25276 37914 50552 56871 75828 113742 151656 170613 227484 341226 454968 682452 1364904 7482653 14965306 22447959 29930612 44895918 59861224 67343877 89791836 134687754 179583672 202031631 269375508 404063262 531268363 538751016 665956117 808126524 1062536726 1331912234 1593805089 1616253048 1997868351 2125073452 2663824468 3187610178 3995736702 4250146904 4781415267 5327648936 5993605053 6375220356 7991473404 9562830534 11987210106 12750440712 14344245801 15982946808 17980815159 19125661068 23974420212 28688491602 35961630318 38251322136 47282884307 47948840424 57376983204 71923260636 94565768614 114753966408 141848652921 143846521272 189131537228 283697305842 378263074456 425545958763 567394611684 851091917526 1134789223368 1276637876289 1702183835052 2553275752578 3404367670104 5106551505156 10213103010312