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21210131221120 = 27537224208057
BaseRepresentation
bin1001101001010010111100…
…10101100100101010000000
32210002200001111211222022001
410310221132111210222000
510240001322043033440
6113035444425553344
74316244552464512
oct464513625445200
983080044758261
1021210131221120
116838191144546
1224667ba045854
13bab15081142a
1453480c105bb2
1526bace1eeb9a
hex134a5e564a80

21210131221120 has 96 divisors (see below), whose sum is σ = 52112928537180. Its totient is φ = 8254753431552.

The previous prime is 21210131221099. The next prime is 21210131221127. The reversal of 21210131221120 is 2112213101212.

It can be written as a sum of positive squares in 6 ways, for example, as 17320179709504 + 3889951511616 = 4161752^2 + 1972296^2 .

It is not an unprimeable number, because it can be changed into a prime (21210131221127) 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 11 ways as a sum of consecutive naturals, for example, 11227869 + ... + 12980188.

Almost surely, 221210131221120 is an apocalyptic number.

21210131221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210131221120 is an abundant number, since it is smaller than the sum of its proper divisors (30902797316060).

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

21210131221120 is an equidigital number, since it uses as much as digits as its factorization.

21210131221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24208150 (or 24208101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 21210131221120 its reverse (2112213101212), we get a palindrome (23322344322332).

The spelling of 21210131221120 in words is "twenty-one trillion, two hundred ten billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 296 320 370 592 640 740 1184 1369 1480 2368 2738 2960 4736 5476 5920 6845 10952 11840 13690 21904 23680 27380 43808 54760 87616 109520 175232 219040 438080 876160 24208057 48416114 96832228 121040285 193664456 242080570 387328912 484161140 774657824 895698109 968322280 1549315648 1791396218 1936644560 3098631296 3582792436 3873289120 4478490545 7165584872 7746578240 8956981090 14331169744 15493156480 17913962180 28662339488 33140830033 35827924360 57324678976 66281660066 71655848720 114649357952 132563320132 143311697440 165704150165 265126640264 286623394880 331408300330 530253280528 573246789760 662816600660 1060506561056 1325633201320 2121013122112 2651266402640 4242026244224 5302532805280 10605065610560 21210131221120