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212110102211100 = 223524127163633667
BaseRepresentation
bin110000001110100110111011…
…010010111010101000011100
31000211000112020201110000000020
4300032212323102322220130
5210300202442131223400
62031042011420032140
762451310031562162
oct6016467322725034
91024015221400006
10212110102211100
1161648430aa9a45
121b958438092650
139147b873b46b2
143a542801d1232
15197c70d0472a0
hexc0e9bb4baa1c

212110102211100 has 144 divisors (see below), whose sum is σ = 630993488165376. Its totient is φ = 54979487424000.

The previous prime is 212110102211071. The next prime is 212110102211131. The reversal of 212110102211100 is 1112201011212.

It is a happy number.

212110102211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 212110102211100.

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, 28483534 + ... + 35150133.

Almost surely, 2212110102211100 is an apocalyptic number.

212110102211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110102211100 is an abundant number, since it is smaller than the sum of its proper divisors (418883385954276).

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

212110102211100 is a wasteful number, since it uses less digits than its factorization.

212110102211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63633996 (or 63633989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212110102211100 its reverse (1112201011212), we get a palindrome (213222303222312).

The spelling of 212110102211100 in words is "two hundred twelve trillion, one hundred ten billion, one hundred two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 4065 4100 5420 6150 6775 8130 11111 12300 13550 16260 20325 22222 27100 33333 40650 44444 55555 66666 81300 111110 133332 166665 222220 277775 333330 555550 666660 833325 1111100 1666650 3333300 63633667 127267334 190901001 254534668 318168335 381802002 636336670 763604004 954505005 1272673340 1590841675 1909010010 2608980347 3181683350 3818020020 4772525025 5217960694 6363366700 7826941041 9545050050 10435921388 13044901735 15653882082 17244723757 19090100100 26089803470 31307764164 34489447514 39134705205 51734171271 52179606940 65224508675 68978895028 78269410410 86223618785 103468342542 130449017350 156538820820 172447237570 195673526025 206936685084 258670856355 260898034700 344894475140 391347052050 431118093925 517341712710 707033674037 782694104100 862236187850 1034683425420 1293354281775 1414067348074 1724472375700 2121101022111 2586708563550 2828134696148 3535168370185 4242202044222 5173417127100 7070336740370 8484404088444 10605505110555 14140673480740 17675841850925 21211010221110 35351683701850 42422020442220 53027525552775 70703367403700 106055051105550 212110102211100