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331202200013201 = 117310138921114973
BaseRepresentation
bin100101101001110100000010…
…1011110110000100110010001
31121102200121202210001201002002
41023103220011132300212101
5321402404101200410301
63132224105030003345
7126522366161525066
oct11323500536604621
91542617683051062
10331202200013201
11965930785360a0
12311912567a6555
13112a6305b6640a
145bb03b458cc6d
1528454e154416b
hex12d3a057b0991

331202200013201 has 64 divisors (see below), whose sum is σ = 371088451768320. Its totient is φ = 293074341120000.

The previous prime is 331202200013119. The next prime is 331202200013239. The reversal of 331202200013201 is 102310002202133.

It is not a de Polignac number, because 331202200013201 - 214 = 331202199996817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331202200013281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66600077951 + ... + 66600082923.

It is an arithmetic number, because the mean of its divisors is an integer number (5798257058880).

Almost surely, 2331202200013201 is an apocalyptic number.

It is an amenable number.

331202200013201 is a deficient number, since it is larger than the sum of its proper divisors (39886251755119).

331202200013201 is a wasteful number, since it uses less digits than its factorization.

331202200013201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7658.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 331202200013201 its reverse (102310002202133), we get a palindrome (433512202215334).

The spelling of 331202200013201 in words is "three hundred thirty-one trillion, two hundred two billion, two hundred million, thirteen thousand, two hundred one".

Divisors: 1 11 73 101 389 803 1111 2111 4279 4973 7373 23221 28397 39289 54703 81103 154103 213211 312367 363029 432179 502273 821179 1695133 1934497 2345321 2868097 3993319 5525003 9032969 10498003 15564403 21279467 31549067 36665929 59946067 82939079 115478033 141218281 171208433 195384197 403325219 659406737 766354219 912329869 1060298303 1553401091 2149226167 4083723167 6054552767 8429896409 11663281333 14263046381 44920954837 66600080437 77401776119 156893510191 298111791191 412456039867 851419537309 3279229703101 4537016438537 30109290910291 331202200013201