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201220211001012 = 22373148213298517
BaseRepresentation
bin101101110000001000111011…
…001100101100011010110100
3222101110110112110220101202220
4231300020323030230122310
5202333242443004013022
61551543142214002340
760245452260561000
oct5560107314543264
9871413473811686
10201220211001012
115912a015345665
121a6999a96463b0
138837ca4b8ab88
14379917847b700
15183e2ed2c485c
hexb7023b32c6b4

201220211001012 has 96 divisors (see below), whose sum is σ = 547575098515200. Its totient is φ = 57487592373120.

The previous prime is 201220211000987. The next prime is 201220211001041. The reversal of 201220211001012 is 210100112022102.

It is a junction number, because it is equal to n+sod(n) for n = 201220211000982 and 201220211001000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59353978 + ... + 62652494.

It is an arithmetic number, because the mean of its divisors is an integer number (5703907276200).

Almost surely, 2201220211001012 is an apocalyptic number.

It is an amenable number.

201220211001012 is an abundant number, since it is smaller than the sum of its proper divisors (346354887514188).

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

201220211001012 is a wasteful number, since it uses less digits than its factorization.

201220211001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313366 (or 3313350 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201220211001012 its reverse (210100112022102), we get a palindrome (411320323023114).

The spelling of 201220211001012 in words is "two hundred one trillion, two hundred twenty billion, two hundred eleven million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 14821 29642 44463 59284 88926 103747 177852 207494 311241 414988 622482 726229 1244964 1452458 2178687 2904916 3298517 4357374 5083603 6597034 8714748 9895551 10167206 13194068 15250809 19791102 20334412 23089619 30501618 39582204 46179238 61003236 69268857 92358476 138537714 161627333 277075428 323254666 484881999 646509332 969763998 1131391331 1939527996 2262782662 3394173993 4525565324 6788347986 13576695972 48887320457 97774640914 146661961371 195549281828 293323922742 342211243199 586647845484 684422486398 1026633729597 1368844972796 2053267459194 2395478702393 4106534918388 4790957404786 7186436107179 9581914809572 14372872214358 16768350916751 28745744428716 33536701833502 50305052750253 67073403667004 100610105500506 201220211001012