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21210112021320 = 23325257229248941
BaseRepresentation
bin1001101001010010111010…
…01100010101001101001000
32210002200000011201112010100
410310221131030111031020
510240001302134140240
6113035442502245400
74316244230340435
oct464513514251510
983080004645110
1021210112021320
116838181320442
1224667b3726860
13bab14984b2c1
14534809748b8c
1526bacc6aae30
hex134a5d315348

21210112021320 has 96 divisors (see below), whose sum is σ = 69201085632120. Its totient is φ = 5634021949440.

The previous prime is 21210112021309. The next prime is 21210112021453. The reversal of 21210112021320 is 2312021101212.

21210112021320 is a `hidden beast` number, since 2 + 1 + 210 + 112 + 0 + 21 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18605367799236 + 2604744222084 = 4313394^2 + 1613922^2 .

It is a super-2 number, since 2×212101120213202 (a number of 27 digits) contains 22 as substring.

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 = 21210112021293 and 21210112021302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114531951 + ... + 114716990.

Almost surely, 221210112021320 is an apocalyptic number.

21210112021320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210112021320 is an abundant number, since it is smaller than the sum of its proper divisors (47990973610800).

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

21210112021320 is a wasteful number, since it uses less digits than its factorization.

21210112021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229249215 (or 229249208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21210112021320 its reverse (2312021101212), we get a palindrome (23522133122532).

The spelling of 21210112021320 in words is "twenty-one trillion, two hundred ten billion, one hundred twelve million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 257 360 514 771 1028 1285 1542 2056 2313 2570 3084 3855 4626 5140 6168 7710 9252 10280 11565 15420 18504 23130 30840 46260 92520 229248941 458497882 687746823 916995764 1146244705 1375493646 1833991528 2063240469 2292489410 2750987292 3438734115 4126480938 4584978820 5501974584 6877468230 8252961876 9169957640 10316202345 13754936460 16505923752 20632404690 27509872920 41264809380 58916977837 82529618760 117833955674 176750933511 235667911348 294584889185 353501867022 471335822696 530252800533 589169778370 707003734044 883754667555 1060505601066 1178339556740 1414007468088 1767509335110 2121011202132 2356679113480 2651264002665 3535018670220 4242022404264 5302528005330 7070037340440 10605056010660 21210112021320