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1022212122201 = 3229101131296011
BaseRepresentation
bin11101110000000001001…
…01110010011001011001
310121201111201110010220200
432320000211302121121
5113221442300402301
62101333041212413
7133565240450544
oct16700045623131
93551451403820
101022212122201
11364577104086
12146140931109
137551805a60a
143769244385b
151b8cb7e5c86
hexee00972659

1022212122201 has 48 divisors (see below), whose sum is σ = 1554347171520. Its totient is φ = 646485840000.

The previous prime is 1022212122187. The next prime is 1022212122271.

It is a happy number.

1022212122201 is a `hidden beast` number, since 10 + 2 + 221 + 212 + 220 + 1 = 666.

1022212122201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1022212122201 - 218 = 1022211860057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022212122271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3305286 + ... + 3601296.

It is an arithmetic number, because the mean of its divisors is an integer number (32382232740).

Almost surely, 21022212122201 is an apocalyptic number.

It is an amenable number.

1022212122201 is a deficient number, since it is larger than the sum of its proper divisors (532135049319).

1022212122201 is a wasteful number, since it uses less digits than its factorization.

1022212122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296278 (or 296275 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 1022212122201 in words is "one trillion, twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 29 87 101 131 261 303 393 909 1179 2929 3799 8787 11397 13231 26361 34191 39693 119079 296011 383699 888033 1151097 2664099 3453291 8584319 25752957 29897111 38777441 77258871 89691333 116332323 269073999 348996969 867016219 1124545789 2601048657 3373637367 3916521541 7803145971 10120912101 11749564623 35248693869 113579124689 340737374067 1022212122201