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21210112230120 = 23325112486917177
BaseRepresentation
bin1001101001010010111010…
…01101001000001011101000
32210002200000012010010112200
410310221131031020023220
510240001302212330440
6113035442510540200
74316244232200252
oct464513515101350
983080005103480
1021210112230120
116838181453300
1224667b3807660
13bab1498c2358
145348097a0cd2
1526bacc6ecc30
hex134a5d3482e8

21210112230120 has 144 divisors (see below), whose sum is σ = 75769182068580. Its totient is φ = 5141845378560.

The previous prime is 21210112230107. The next prime is 21210112230143. The reversal of 21210112230120 is 2103221101212.

21210112230120 is a `hidden beast` number, since 21 + 210 + 112 + 2 + 301 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20931119102916 + 278993127204 = 4575054^2 + 528198^2 .

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 = 21210112230093 and 21210112230102.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243415029 + ... + 243502148.

Almost surely, 221210112230120 is an apocalyptic number.

21210112230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210112230120 is an abundant number, since it is smaller than the sum of its proper divisors (54559069838460).

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

21210112230120 is a wasteful number, since it uses less digits than its factorization.

21210112230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486917216 (or 486917198 counting only the distinct ones).

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

Adding to 21210112230120 its reverse (2103221101212), we get a palindrome (23313333331332).

The spelling of 21210112230120 in words is "twenty-one trillion, two hundred ten billion, one hundred twelve million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 486917177 973834354 1460751531 1947668708 2434585885 2921503062 3895337416 4382254593 4869171770 5356088947 5843006124 7303757655 8764509186 9738343540 10712177894 11686012248 14607515310 16068266841 17529018372 19476687080 21424355788 21911272965 26780444735 29215030620 32136533682 35058036744 42848711576 43822545930 48204800523 53560889470 58430061240 58916978417 64273067364 80341334205 87645091860 96409601046 107121778940 117833956834 128546134728 160682668410 175290183720 176750935251 192819202092 214243557880 235667913668 241024002615 294584892085 321365336820 353501870502 385638404184 471335827336 482048005230 530252805753 589169784170 642730673640 707003741004 883754676255 964096010460 1060505611506 1178339568340 1414007482008 1767509352510 1928192020920 2121011223012 2356679136680 2651264028765 3535018705020 4242022446024 5302528057530 7070037410040 10605056115060 21210112230120