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211200111212020 = 225710133744321539
BaseRepresentation
bin110000000001010111011011…
…100110101111010111110100
31000200210112101212211120120221
4300001113123212233113310
5210140300311432241040
62025103554110504124
762325463432655350
oct6001273346572764
91020715355746527
10211200111212020
1161327511892717
121b82bbb5b05044
1390b0114a70018
143a221d5d4a460
151963bed83974a
hexc015db9af5f4

211200111212020 has 96 divisors (see below), whose sum is σ = 513417882781440. Its totient is φ = 71481776486400.

The previous prime is 211200111211997. The next prime is 211200111212147. The reversal of 211200111212020 is 20212111002112.

It is a super-2 number, since 2×2112001112120202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211200111211985 and 211200111212003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17395590 + ... + 26925949.

It is an arithmetic number, because the mean of its divisors is an integer number (5348102945640).

Almost surely, 2211200111212020 is an apocalyptic number.

211200111212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200111212020 is an abundant number, since it is smaller than the sum of its proper divisors (302217771569420).

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

211200111212020 is a wasteful number, since it uses less digits than its factorization.

211200111212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44321993 (or 44321991 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211200111212020 its reverse (20212111002112), we get a palindrome (231412222214132).

The spelling of 211200111212020 in words is "two hundred eleven trillion, two hundred billion, one hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 337 404 505 674 707 1010 1348 1414 1685 2020 2359 2828 3370 3535 4718 6740 7070 9436 11795 14140 23590 34037 47180 68074 136148 170185 238259 340370 476518 680740 953036 1191295 2382590 4765180 44321539 88643078 177286156 221607695 310250773 443215390 620501546 886430780 1241003092 1551253865 3102507730 4476475439 6205015460 8952950878 14936358643 17905901756 22382377195 29872717286 31335328073 44764754390 59745434572 62670656146 74681793215 89529508780 104554510501 125341312292 149363586430 156676640365 209109021002 298727172860 313353280730 418218042004 522772552505 626706561460 1045545105010 1508572222943 2091090210020 3017144445886 6034288891772 7542861114715 10560005560601 15085722229430 21120011121202 30171444458860 42240022242404 52800027803005 105600055606010 211200111212020