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12100202321022 = 23219431332924659
BaseRepresentation
bin1011000000010100110001…
…0000101101010001111110
31120211202201220102102022100
42300011030100231101332
53041222203243233042
641422431201325530
72356132202463144
oct260051420552176
946752656372270
1012100202321022
113945737838762
1214351253368a6
1369a0760b9bba
142db91d867594
1515eb49cc224c
hexb014c42d47e

12100202321022 has 96 divisors (see below), whose sum is σ = 27670413888000. Its totient is φ = 3810951106560.

The previous prime is 12100202321017. The next prime is 12100202321033. The reversal of 12100202321022 is 22012320200121.

12100202321022 is a `hidden beast` number, since 121 + 0 + 0 + 202 + 321 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12100202320986 and 12100202321004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490688929 + ... + 490713587.

It is an arithmetic number, because the mean of its divisors is an integer number (288233478000).

Almost surely, 212100202321022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100202321022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13835206944000).

12100202321022 is an abundant number, since it is smaller than the sum of its proper divisors (15570211566978).

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

12100202321022 is a wasteful number, since it uses less digits than its factorization.

12100202321022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28446 (or 28443 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12100202321022 its reverse (22012320200121), we get a palindrome (34112522521143).

The spelling of 12100202321022 in words is "twelve trillion, one hundred billion, two hundred two million, three hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 431 862 1293 2586 3329 3879 6658 7758 8189 9987 16378 19974 24567 24659 29961 49134 49318 59922 63251 73701 73977 126502 147402 147954 189753 221931 379506 443862 468521 569259 937042 1138518 1405563 1434799 2811126 2869598 4216689 4304397 8433378 8608794 10628029 12913191 21256058 25826382 27261181 31884087 54522362 63768174 81783543 82089811 95652261 163567086 164179622 191304522 201932551 245350629 246269433 403865102 490701258 492538866 605797653 738808299 1211595306 1477616598 1559706409 1817392959 3119412818 3634785918 4679119227 9358238454 14037357681 28074715362 35380708541 70761417082 106142125623 212284251246 318426376869 636852753738 672233462279 1344466924558 2016700386837 4033400773674 6050101160511 12100202321022