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211121011210100 = 225259269133023131
BaseRepresentation
bin110000000000001101110000…
…111000001011011101110100
31000200111222020021020010212012
4300000031300320023131310
5210133001312332210400
62025003353103143352
762316663320024015
oct6000156070133564
91020458207203765
10211121011210100
11612a6a10a07502
121b8187bb5a4b58
1390a581a230a64
143a1c45092b00c
151961b1e396d35
hexc00370e0b774

211121011210100 has 72 divisors (see below), whose sum is σ = 467629518232800. Its totient is φ = 82708461308800.

The previous prime is 211121011210099. The next prime is 211121011210157. The reversal of 211121011210100 is 1012110121112.

It is a congruent number.

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, 64924466 + ... + 68098665.

It is an arithmetic number, because the mean of its divisors is an integer number (6494854419900).

Almost surely, 2211121011210100 is an apocalyptic number.

211121011210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121011210100 is an abundant number, since it is smaller than the sum of its proper divisors (256508507022700).

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

211121011210100 is a wasteful number, since it uses less digits than its factorization.

211121011210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133023473 (or 133023466 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211121011210100 its reverse (1012110121112), we get a palindrome (212133121331212).

The spelling of 211121011210100 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 269 295 538 590 1076 1180 1345 1475 2690 2950 5380 5900 6725 13450 15871 26900 31742 63484 79355 158710 317420 396775 793550 1587100 133023131 266046262 532092524 665115655 1330231310 2660462620 3325578275 6651156550 7848364729 13302313100 15696729458 31393458916 35783222239 39241823645 71566444478 78483647290 143132888956 156967294580 178916111195 196209118225 357832222390 392418236450 715664444780 784836472900 894580555975 1789161111950 2111210112101 3578322223900 4222420224202 8444840448404 10556050560505 21112101121010 42224202242020 52780252802525 105560505605050 211121011210100