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211112012122220 = 225115383218140499
BaseRepresentation
bin110000000000000101011000…
…011111011000100001101100
31000200111010000002212010001002
4300000011120133120201230
5210132324400100402340
62024555304113335432
762316224315032136
oct6000053037304154
91020433002763032
10211112012122220
11612a31131895a0
121b816b09867578
1390a4a14a0c9a1
143a1bc396b2056
1519617942ea715
hexc001587d886c

211112012122220 has 96 divisors (see below), whose sum is σ = 498700595232000. Its totient is φ = 74412086677760.

The previous prime is 211112012122171. The next prime is 211112012122241. The reversal of 211112012122220 is 22221210211112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211112012122192 and 211112012122201.

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, 108102470 + ... + 110038029.

It is an arithmetic number, because the mean of its divisors is an integer number (5194797867000).

Almost surely, 2211112012122220 is an apocalyptic number.

211112012122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112012122220 is an abundant number, since it is smaller than the sum of its proper divisors (287588583109780).

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

211112012122220 is a wasteful number, since it uses less digits than its factorization.

211112012122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218140655 (or 218140653 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211112012122220 its reverse (22221210211112), we get a palindrome (233333222333332).

The spelling of 211112012122220 in words is "two hundred eleven trillion, one hundred twelve billion, twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 83 106 110 166 212 220 265 332 415 530 583 830 913 1060 1166 1660 1826 2332 2915 3652 4399 4565 5830 8798 9130 11660 17596 18260 21995 43990 48389 87980 96778 193556 241945 483890 967780 218140499 436280998 872561996 1090702495 2181404990 2399545489 4362809980 4799090978 9598181956 11561446447 11997727445 18105661417 23122892894 23995454890 36211322834 46245785788 47990909780 57807232235 72422645668 90528307085 115614464470 127175910917 181056614170 199162275587 231228928940 254351821834 362113228340 398324551174 508703643668 635879554585 796649102348 959600055101 995811377935 1271759109170 1919200110202 1991622755870 2543518218340 3838400220404 3983245511740 4798000275505 9596000551010 10555600606111 19192001102020 21111201212222 42222402424444 52778003030555 105556006061110 211112012122220