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211200202012100 = 225271938047417371
BaseRepresentation
bin110000000001010111100001…
…000001000111010111000100
31000200210112122012200200212212
4300001113201001013113010
5210140301003203341400
62025104011113002552
762325465614522540
oct6001274101072704
91020715565620785
10211200202012100
1161327559070104
121b8300203b3458
1390b012a812192
143a22204024a20
151963c067c3335
hexc015e10475c4

211200202012100 has 144 divisors (see below), whose sum is σ = 551359497400320. Its totient is φ = 68598398966400.

The previous prime is 211200202012021. The next prime is 211200202012207. The reversal of 211200202012100 is 1210202002112.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 505816415 + ... + 506233785.

Almost surely, 2211200202012100 is an apocalyptic number.

211200202012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200202012100 is an abundant number, since it is smaller than the sum of its proper divisors (340159295388220).

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

211200202012100 is a wasteful number, since it uses less digits than its factorization.

211200202012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455458 (or 455451 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211200202012100 its reverse (1210202002112), we get a palindrome (212410404014212).

The spelling of 211200202012100 in words is "two hundred eleven trillion, two hundred billion, two hundred two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 38047 76094 152188 190235 266329 380470 417371 532658 722893 760940 834742 951175 1065316 1331645 1445786 1669484 1902350 2086855 2663290 2891572 2921597 3614465 3804700 4173710 5060251 5326580 5843194 6658225 7228930 7930049 8347420 10120502 10434275 11686388 13316450 14457860 14607985 15860098 18072325 20241004 20868550 25301255 26632900 29215970 31720196 36144650 39650245 41737100 50602510 55510343 58431940 72289300 73039925 79300490 101205020 111020686 126506275 146079850 158600980 198251225 222041372 253012550 277551715 292159700 396502450 506025100 555103430 793004900 1110206860 1387758575 2775517150 5551034300 15879714437 31759428874 63518857748 79398572185 111158001059 158797144370 222316002118 301714574303 317594288740 396992860925 444632004236 555790005295 603429148606 793985721850 1111580010590 1206858297212 1508572871515 1587971443700 2112002020121 2223160021180 2778950026475 3017145743030 4224004040242 5557900052950 6034291486060 7542864357575 8448008080484 10560010100605 11115800105900 15085728715150 21120020201210 30171457430300 42240040402420 52800050503025 105600101006050 211200202012100