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212102121211020 = 223253773436262539
BaseRepresentation
bin110000001110011111011111…
…100101110100010010001100
31000210222202122111210012002200
4300032133133211310102030
5210300040121012223040
62031034211435321500
762450605201314315
oct6016373745642214
91023882574705080
10212102121211020
1161645005a29507
121b95698b2b0290
1391471b4a94741
143a53b2427160c
15197c3e2551630
hexc0e7df97448c

212102121211020 has 144 divisors (see below), whose sum is σ = 669816563314080. Its totient is φ = 54278039927808.

The previous prime is 212102121211009. The next prime is 212102121211033. The reversal of 212102121211020 is 20112121201212.

212102121211020 is a `hidden beast` number, since 21 + 210 + 212 + 121 + 102 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212102121210984 and 212102121211002.

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, 217645090 + ... + 218617449.

Almost surely, 2212102121211020 is an apocalyptic number.

212102121211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102121211020 is an abundant number, since it is smaller than the sum of its proper divisors (457714442103060).

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

212102121211020 is a wasteful number, since it uses less digits than its factorization.

212102121211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436262664 (or 436262659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212102121211020 its reverse (20112121201212), we get a palindrome (232214242412232).

The spelling of 212102121211020 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 73 74 90 111 146 148 180 185 219 222 292 333 365 370 438 444 555 657 666 730 740 876 1095 1110 1314 1332 1460 1665 2190 2220 2628 2701 3285 3330 4380 5402 6570 6660 8103 10804 13140 13505 16206 24309 27010 32412 40515 48618 54020 81030 97236 121545 162060 243090 486180 436262539 872525078 1308787617 1745050156 2181312695 2617575234 3926362851 4362625390 5235150468 6543938085 7852725702 8725250780 13087876170 15705451404 16141713943 19631814255 26175752340 31847165347 32283427886 39263628510 48425141829 63694330694 64566855772 78527257020 80708569715 95541496041 96850283658 127388661388 145275425487 159235826735 161417139430 191082992082 193700567316 242125709145 286624488123 290550850974 318471653470 322834278860 382165984164 477707480205 484251418290 573248976246 581101701948 636943306940 726377127435 955414960410 968502836580 1146497952492 1178345117839 1433122440615 1452754254870 1910829920820 2356690235678 2866244881230 2905508509740 3535035353517 4713380471356 5732489762460 5891725589195 7070070707034 10605106060551 11783451178390 14140141414068 17675176767585 21210212121102 23566902356780 35350353535170 42420424242204 53025530302755 70700707070340 106051060605510 212102121211020