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212220101011122 = 232371013154938617
BaseRepresentation
bin110000010000001101010111…
…101111000010011010110010
31000211102001011201121000022200
4300100031113233002122302
5210304003231324323442
62031204322444044030
762462252640134151
oct6020152757023262
91024361151530280
10212220101011122
11616900484aa536
121b975816533616
139155367581349
143a59717181598
1519804e9ea434c
hexc10357bc26b2

212220101011122 has 48 divisors (see below), whose sum is σ = 476913141251352. Its totient is φ = 68146674105600.

The previous prime is 212220101011091. The next prime is 212220101011133. The reversal of 212220101011122 is 221110101022212.

212220101011122 is a `hidden beast` number, since 212 + 220 + 10 + 101 + 1 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211502368420641 + 717732590481 = 14543121^2 + 847191^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212220101011095 and 212220101011104.

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, 1577402043 + ... + 1577536574.

Almost surely, 2212220101011122 is an apocalyptic number.

212220101011122 is an abundant number, since it is smaller than the sum of its proper divisors (264693040240230).

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

212220101011122 is a wasteful number, since it uses less digits than its factorization.

212220101011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154938763 (or 3154938760 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212220101011122 its reverse (221110101022212), we get a palindrome (433330202033334).

The spelling of 212220101011122 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 3737 7474 11211 22422 33633 67266 3154938617 6309877234 9464815851 18929631702 28394447553 56788895106 116732728829 233465457658 318648800317 350198186487 637297600634 700396372974 955946400951 1050594559461 1911892801902 2101189118922 2867839202853 5735678405706 11790005611729 23580011223458 35370016835187 70740033670374 106110050505561 212220101011122