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131202200012220 = 2232513729318158519
BaseRepresentation
bin11101110101001111100100…
…100001101000010110111100
3122012112210210220102121011100
4131311033210201220112330
5114144104101200342340
61143013243020253100
736431021553204351
oct3565174441502674
9565483726377140
10131202200012220
11388945a4522037
121286ba473a1190
1358294118a6c6c
142458312968628
151027d0c4a4830
hex7753e48685bc

131202200012220 has 144 divisors (see below), whose sum is σ = 402253200498240. Its totient is φ = 34613331207168.

The previous prime is 131202200012203. The next prime is 131202200012263. The reversal of 131202200012220 is 22210002202131.

131202200012220 is a `hidden beast` number, since 1 + 31 + 202 + 200 + 0 + 12 + 220 = 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 = 131202200012193 and 131202200012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853880 + ... + 16304639.

It is an arithmetic number, because the mean of its divisors is an integer number (2793425003460).

Almost surely, 2131202200012220 is an apocalyptic number.

131202200012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131202200012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201126600249120).

131202200012220 is an abundant number, since it is smaller than the sum of its proper divisors (271051000486020).

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

131202200012220 is a wasteful number, since it uses less digits than its factorization.

131202200012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18158964 (or 18158959 counting only the distinct ones).

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

Adding to 131202200012220 its reverse (22210002202131), we get a palindrome (153412202214351).

The spelling of 131202200012220 in words is "one hundred thirty-one trillion, two hundred two billion, two hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 293 411 548 586 685 822 879 1172 1233 1370 1465 1644 1758 2055 2466 2637 2740 2930 3516 4110 4395 4932 5274 5860 6165 8220 8790 10548 12330 13185 17580 24660 26370 40141 52740 80282 120423 160564 200705 240846 361269 401410 481692 602115 722538 802820 1204230 1445076 1806345 2408460 3612690 7225380 18158519 36317038 54475557 72634076 90792595 108951114 163426671 181585190 217902228 272377785 326853342 363170380 544755570 653706684 817133355 1089511140 1634266710 2487717103 3268533420 4975434206 5320446067 7463151309 9950868412 10640892134 12438585515 14926302618 15961338201 21281784268 22389453927 24877171030 26602230335 29852605236 31922676402 37315756545 44778907854 47884014603 49754342060 53204460670 63845352804 74631513090 79806691005 89557815708 95768029206 106408921340 111947269635 149263026180 159613382010 191536058412 223894539270 239420073015 319226764020 447789078540 478840146030 728901111179 957680292060 1457802222358 2186703333537 2915604444716 3644505555895 4373406667074 6560110000611 7289011111790 8746813334148 10933516667685 13120220001222 14578022223580 21867033335370 26240440002444 32800550003055 43734066670740 65601100006110 131202200012220