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211020021210120 = 233513812129598099
BaseRepresentation
bin101111111110101111101101…
…011001111001110000001000
31000200011022120002201120221120
4233332233231121321300020
5210124323000412210440
62024445132013035240
762306456562134133
oct5776575531716010
91020138502646846
10211020021210120
11612680a7768801
121b801116185b20
1390991445a5a15
143a175d020321a
15195e1ad2a3dd0
hexbfebed679c08

211020021210120 has 128 divisors (see below), whose sum is σ = 633817096560000. Its totient is φ = 56204752343040.

The previous prime is 211020021210113. The next prime is 211020021210151. The reversal of 211020021210120 is 21012120020112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211020021210120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352518831 + ... + 353116929.

It is an arithmetic number, because the mean of its divisors is an integer number (4951696066875).

Almost surely, 2211020021210120 is an apocalyptic number.

211020021210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020021210120 is an abundant number, since it is smaller than the sum of its proper divisors (422797075349880).

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

211020021210120 is a wasteful number, since it uses less digits than its factorization.

211020021210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601623 (or 601619 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211020021210120 its reverse (21012120020112), we get a palindrome (232032141230232).

The spelling of 211020021210120 in words is "two hundred eleven trillion, twenty billion, twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1381 2129 2762 4143 4258 5524 6387 6905 8286 8516 10645 11048 12774 13810 16572 17032 20715 21290 25548 27620 31935 33144 41430 42580 51096 55240 63870 82860 85160 127740 165720 255480 598099 1196198 1794297 2392396 2940149 2990495 3588594 4784792 5880298 5980990 7177188 8820447 8971485 11760596 11961980 14354376 14700745 17640894 17942970 23521192 23923960 29401490 35281788 35885940 44102235 58802980 70563576 71771880 88204470 117605960 176408940 352817880 825974719 1273352771 1651949438 2477924157 2546705542 3303898876 3820058313 4129873595 4955848314 5093411084 6366763855 6607797752 7640116626 8259747190 9911696628 10186822168 12389620785 12733527710 15280233252 16519494380 19100291565 19823393256 24779241570 25467055420 30560466504 33038988760 38200583130 49558483140 50934110840 76401166260 99116966280 152802332520 1758500176751 3517000353502 5275500530253 7034000707004 8792500883755 10551001060506 14068001414008 17585001767510 21102002121012 26377502651265 35170003535020 42204004242024 52755005302530 70340007070040 105510010605060 211020021210120