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201301122013212 = 2231311358391955711
BaseRepresentation
bin101101110001010100010001…
…110111101101100000011100
3222101202012101022020200120110
4231301110101313231200130
5202341104144213410322
61552044243033450020
760254345314044564
oct5561242167554034
9871665338220513
10201301122013212
1159160365515691
121a6b160a570910
1388427ca973860
14379d0521dbda4
151841486747c0c
hexb71511ded81c

201301122013212 has 96 divisors (see below), whose sum is σ = 510397649879040. Its totient is φ = 61380130452480.

The previous prime is 201301122013163. The next prime is 201301122013219. The reversal of 201301122013212 is 212310221103102.

201301122013212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201301122013219) 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, 101952037 + ... + 103907747.

It is an arithmetic number, because the mean of its divisors is an integer number (5316642186240).

Almost surely, 2201301122013212 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 201301122013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255198824939520).

201301122013212 is an abundant number, since it is smaller than the sum of its proper divisors (309096527865828).

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

201301122013212 is a wasteful number, since it uses less digits than its factorization.

201301122013212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961683 (or 1961681 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 201301122013212 its reverse (212310221103102), we get a palindrome (413611343116314).

The spelling of 201301122013212 in words is "two hundred one trillion, three hundred one billion, one hundred twenty-two million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 113 156 226 339 452 678 1356 1469 2938 4407 5839 5876 8814 11678 17517 17628 23356 35034 70068 75907 151814 227721 303628 455442 659807 910884 1319614 1955711 1979421 2639228 3911422 3958842 5867133 7822844 7917684 8577491 11734266 17154982 23468532 25424243 25732473 34309964 50848486 51464946 76272729 101696972 102929892 152545458 220995343 305090916 441990686 662986029 883981372 1325972058 2651944116 2872939459 5745878918 8618818377 11419396529 11491757836 17237636754 22838793058 34258189587 34475273508 45677586116 68516379174 137032758348 148452154877 296904309754 445356464631 593808619508 890712929262 1290391807777 1781425858524 2580783615554 3871175423331 5161567231108 7742350846662 15484701693324 16775093501101 33550187002202 50325280503303 67100374004404 100650561006606 201301122013212