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12102030201300 = 223521313272338421
BaseRepresentation
bin1011000000011011100100…
…1101100001000111010100
31120211221110021220100122220
42300012321031201013110
53041234424212420200
641423332415222340
72356225406300154
oct260067115410724
946757407810586
1012102030201300
113946495605216
1214355555179b0
1369a2a79bc170
142dba5451a764
1515ec054d64a0
hexb01b93611d4

12102030201300 has 144 divisors (see below), whose sum is σ = 37737117503232. Its totient is φ = 2976715123200.

The previous prime is 12102030201293. The next prime is 12102030201307. The reversal of 12102030201300 is 310203020121.

It is an interprime number because it is at equal distance from previous prime (12102030201293) and next prime (12102030201307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12102030201300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102030201307) by changing a digit.

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, 4006090 + ... + 6344510.

Almost surely, 212102030201300 is an apocalyptic number.

12102030201300 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 12102030201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18868558751616).

12102030201300 is an abundant number, since it is smaller than the sum of its proper divisors (25635087301932).

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

12102030201300 is a wasteful number, since it uses less digits than its factorization.

12102030201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339778 (or 2339771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12102030201300 its reverse (310203020121), we get a palindrome (12412233221421).

The spelling of 12102030201300 in words is "twelve trillion, one hundred two billion, thirty million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1327 1950 2654 3900 3981 5308 6635 7962 13270 15924 17251 19905 26540 33175 34502 39810 51753 66350 69004 79620 86255 99525 103506 132700 172510 199050 207012 258765 345020 398100 431275 517530 862550 1035060 1293825 1725100 2338421 2587650 4676842 5175300 7015263 9353684 11692105 14030526 23384210 28061052 30399473 35076315 46768420 58460525 60798946 70152630 91198419 116921050 121597892 140305260 151997365 175381575 182396838 233842100 303994730 350763150 364793676 455992095 607989460 701526300 759986825 911984190 1519973650 1823968380 2279960475 3039947300 3103084667 4559920950 6206169334 9119841900 9309254001 12412338668 15515423335 18618508002 31030846670 37237016004 40340100671 46546270005 62061693340 77577116675 80680201342 93092540010 121020302013 155154233350 161360402684 186185080020 201700503355 232731350025 242040604026 310308466700 403401006710 465462700050 484081208052 605101510065 806802013420 930925400100 1008502516775 1210203020130 2017005033550 2420406040260 3025507550325 4034010067100 6051015100650 12102030201300