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212102201003 = 721117192371733
BaseRepresentation
bin1100010110001001000…
…1101011111010101011
3202021110202201012021012
43011202101223322223
511433341130413003
6241234410134135
721216042650600
oct3054221537253
9667422635235
10212102201003
1181a52187a10
123513472134b
13170026b8264
14a3a15046a7
1557b5b818d8
hex316246beab

212102201003 has 144 divisors (see below), whose sum is σ = 309090937824. Its totient is φ = 143299860480.

The previous prime is 212102200997. The next prime is 212102201033. The reversal of 212102201003 is 300102201212.

It is a happy number.

It is not a de Polignac number, because 212102201003 - 230 = 211028459179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212102201033) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122389325 + ... + 122391057.

It is an arithmetic number, because the mean of its divisors is an integer number (2146464846).

Almost surely, 2212102201003 is an apocalyptic number.

212102201003 is a deficient number, since it is larger than the sum of its proper divisors (96988736821).

212102201003 is a wasteful number, since it uses less digits than its factorization.

212102201003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212102201003 its reverse (300102201212), we get a palindrome (512204402215).

The spelling of 212102201003 in words is "two hundred twelve billion, one hundred two million, two hundred one thousand, three".

Divisors: 1 7 11 17 19 37 49 77 119 133 187 209 259 323 361 407 539 629 703 833 931 1309 1463 1733 1813 2261 2527 2849 3553 3971 4403 4921 6137 6919 7733 9163 10241 11951 12131 13357 15827 17689 19063 19943 24871 27797 29461 30821 32927 34447 42959 48433 54131 64121 67507 83657 84917 93499 131461 133441 146927 174097 194579 206227 227069 230489 300713 324071 339031 362197 378917 448847 472549 559759 585599 625613 654493 705331 920227 934087 1028489 1090057 1218299 1443589 1589483 1613423 2268497 2497759 2535379 3141929 3307843 3918313 4379291 4937317 6157349 6441589 6881743 7199423 7630399 8528093 10635421 11126381 11990627 13401289 15879479 17484313 17747653 20711083 23147681 27428191 30655037 34561219 43101443 48172201 53412793 59696651 74447947 83934389 93809023 116989631 122390191 144977581 162033767 227821913 254624491 301710101 337205407 393510577 521135629 587540723 656663161 818927417 1014843067 1134236369 1594753391 1782371437 2754574039 4328616347 5732491919 11163273737 12476600059 19282018273 30300314429 212102201003