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212100010211100 = 2235211101636363667
BaseRepresentation
bin110000001110011101100001…
…110000111111011100011100
31000210222120012101120021121110
4300032131201300333130130
5210300021310103223400
62031033222145302020
762450501656154514
oct6016354160773434
91023876171507543
10212100010211100
1161644122367a80
121b9564a0334910
139146c39624b6b
143a539a3b60844
15197c31c064e50
hexc0e761c3f71c

212100010211100 has 144 divisors (see below), whose sum is σ = 676093124520576. Its totient is φ = 50909093280000.

The previous prime is 212100010211053. The next prime is 212100010211149. The reversal of 212100010211100 is 1112010001212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 317848534 + ... + 318515133.

It is an arithmetic number, because the mean of its divisors is an integer number (4695091142504).

Almost surely, 2212100010211100 is an apocalyptic number.

212100010211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100010211100 is an abundant number, since it is smaller than the sum of its proper divisors (463993114309476).

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

212100010211100 is a wasteful number, since it uses less digits than its factorization.

212100010211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636363796 (or 636363789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212100010211100 its reverse (1112010001212), we get a palindrome (213212020212312).

The spelling of 212100010211100 in words is "two hundred twelve trillion, one hundred billion, ten million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 636363667 1272727334 1909091001 2545454668 3181818335 3818182002 6363636670 7000000337 7636364004 9545455005 12727273340 14000000674 15909091675 19090910010 21000001011 28000001348 31818183350 35000001685 38181820020 42000002022 47727275025 63636366700 64272730367 70000003370 84000004044 95454550050 105000005055 128545460734 140000006740 175000008425 190909100100 192818191101 210000010110 257090921468 321363651835 350000016850 385636382202 420000020220 525000025275 642727303670 700000033700 707000034037 771272764404 964090955505 1050000050550 1285454607340 1414000068074 1606818259175 1928181911010 2100000101100 2121000102111 2828000136148 3213636518350 3535000170185 3856363822020 4242000204222 4820454777525 6427273036700 7070000340370 8484000408444 9640909555050 10605000510555 14140000680740 17675000850925 19281819110100 21210001021110 35350001701850 42420002042220 53025002552775 70700003403700 106050005105550 212100010211100