Search a number
-
+
211210200121104 = 24327929363366203
BaseRepresentation
bin110000000001100000110100…
…111100110111111100010000
31000200211111102222220021001100
4300001200310330313330100
5210140431442212333404
62025112343151104400
762326301440200432
oct6001406474677420
91020744388807040
10211210200121104
1161330819803408
121b831b50812100
1390b1061cb9a02
143a228b1c14652
1519640de40ad39
hexc01834f37f10

211210200121104 has 120 divisors (see below), whose sum is σ = 600620366586240. Its totient is φ = 69274973604096.

The previous prime is 211210200121049. The next prime is 211210200121121. The reversal of 211210200121104 is 401121002012112.

211210200121104 is a `hidden beast` number, since 211 + 210 + 20 + 0 + 121 + 104 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28349934 + ... + 35016269.

It is an arithmetic number, because the mean of its divisors is an integer number (5005169721552).

Almost surely, 2211210200121104 is an apocalyptic number.

211210200121104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211210200121104 is an abundant number, since it is smaller than the sum of its proper divisors (389410166465136).

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

211210200121104 is a wasteful number, since it uses less digits than its factorization.

211210200121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63366589 (or 63366580 counting only the distinct ones).

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

Adding to 211210200121104 its reverse (401121002012112), we get a palindrome (612331202133216).

The spelling of 211210200121104 in words is "two hundred eleven trillion, two hundred ten billion, two hundred million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 293 316 474 586 632 711 879 948 1172 1264 1422 1758 1896 2344 2637 2844 3516 3792 4688 5274 5688 7032 10548 11376 14064 21096 23147 42192 46294 69441 92588 138882 185176 208323 277764 370352 416646 555528 833292 1111056 1666584 3333168 63366203 126732406 190098609 253464812 380197218 506929624 570295827 760394436 1013859248 1140591654 1520788872 2281183308 3041577744 4562366616 5005930037 9124733232 10011860074 15017790111 18566297479 20023720148 30035580222 37132594958 40047440296 45053370333 55698892437 60071160444 74265189916 80094880592 90106740666 111397784874 120142320888 148530379832 167096677311 180213481332 222795569748 240284641776 297060759664 334193354622 360426962664 445591139496 668386709244 720853925328 891182278992 1336773418488 1466737500841 2673546836976 2933475001682 4400212502523 5866950003364 8800425005046 11733900006728 13200637507569 17600850010092 23467800013456 26401275015138 35201700020184 52802550030276 70403400040368 105605100060552 211210200121104