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201102211021012 = 227315411534927901
BaseRepresentation
bin101101101110011011000001…
…110110011111100011010100
3222101001011221212010022221021
4231232123001312133203110
5202324324312010133022
61551413025204530524
760234104155362460
oct5556330166374324
9871034855108837
10201102211021012
1159093a72441134
121a67ab576b0a44
138829b1b156cc2
1437935829d74a0
15183b1e3bd77c7
hexb6e6c1d9f8d4

201102211021012 has 96 divisors (see below), whose sum is σ = 415988194764800. Its totient is φ = 83243868480000.

The previous prime is 201102211020959. The next prime is 201102211021013. The reversal of 201102211021012 is 210120112201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102211021013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7207692262 + ... + 7207720162.

Almost surely, 2201102211021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102211021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207994097382400).

201102211021012 is an abundant number, since it is smaller than the sum of its proper divisors (214885983743788).

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

201102211021012 is a wasteful number, since it uses less digits than its factorization.

201102211021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43833 (or 43831 counting only the distinct ones).

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

Adding to 201102211021012 its reverse (210120112201102), we get a palindrome (411222323222114).

The spelling of 201102211021012 in words is "two hundred one trillion, one hundred two billion, two hundred eleven million, twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 541 868 1082 2164 3787 7574 15148 15349 16771 27901 30698 33542 55802 61396 67084 107443 111604 117397 195307 214886 234794 390614 429772 469588 475819 781228 864931 951638 1729862 1903276 3330733 3459724 6054517 6661466 8303809 12109034 13322932 15094441 16607618 24218068 30188882 33215236 58126663 60377764 105661087 116253326 211322174 232506652 257418079 422644348 428252449 467927671 514836158 856504898 935855342 1029672316 1713009796 1801926553 1871710684 2997767143 3275493697 3603853106 5995534286 6550987394 7207706212 11991068572 13101974788 13275825919 26551651838 53103303676 92930781433 185861562866 231684574909 371723125732 463369149818 926738299636 1621792024363 3243584048726 6487168097452 7182221822179 14364443644358 28728887288716 50275552755253 100551105510506 201102211021012