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12210002311300 = 22523153425917449
BaseRepresentation
bin1011000110101101110011…
…0110011011100010000100
31121020021011001110211220221
42301223130312123202010
53100022041042430200
641545110404234124
72400100145135653
oct261533466334204
947207131424827
1012210002311300
113988261a99582
12145246909b944
136a7524028251
14302d7826519a
1516292455c91a
hexb1adcd9b884

12210002311300 has 144 divisors (see below), whose sum is σ = 27874590912000. Its totient is φ = 4635919641600.

The previous prime is 12210002311277. The next prime is 12210002311301. The reversal of 12210002311300 is 311320001221.

12210002311300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12210002311301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699744976 + ... + 699762424.

It is an arithmetic number, because the mean of its divisors is an integer number (193573548000).

Almost surely, 212210002311300 is an apocalyptic number.

12210002311300 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 12210002311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937295456000).

12210002311300 is an abundant number, since it is smaller than the sum of its proper divisors (15664588600700).

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

12210002311300 is a wasteful number, since it uses less digits than its factorization.

12210002311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21806 (or 21799 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12210002311300 its reverse (311320001221), we get a palindrome (12521322312521).

The spelling of 12210002311300 in words is "twelve trillion, two hundred ten billion, two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 53 62 100 106 124 155 212 265 310 530 620 775 1060 1325 1550 1643 2650 3100 3286 4259 5300 6572 8215 8518 16430 17036 17449 21295 32860 34898 41075 42590 69796 82150 85180 87245 106475 132029 164300 174490 212950 225727 264058 348980 425900 436225 451454 528116 540919 660145 872450 902908 924797 1081838 1128635 1320290 1744900 1849594 2163676 2257270 2640580 2704595 3300725 3699188 4514540 4623985 5409190 5643175 6601450 6997537 9247970 10818380 11286350 13202900 13522975 13995074 18495940 22572700 23119925 27045950 27990148 28668707 34987685 46239850 54091900 57337414 69975370 74315291 92479700 114674828 139950740 143343535 148630582 174938425 286687070 297261164 349876850 371576455 573374140 699753700 716717675 743152910 1433435350 1486305820 1857882275 2303774021 2866870700 3715764550 3938710423 4607548042 7431529100 7877420846 9215096084 11518870105 15754841692 19693552115 23037740210 39387104230 46075480420 57594350525 78774208460 98467760575 115188701050 122100023113 196935521150 230377402100 244200046226 393871042300 488400092452 610500115565 1221000231130 2442000462260 3052500577825 6105001155650 12210002311300