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21211202002120 = 2351346218827261
BaseRepresentation
bin1001101001010100111100…
…01010010001110011001000
32210002202211010201021200121
410310222132022101303020
510240011020203031440
6113040143000313024
74316313234124144
oct464523612216310
983082733637617
1021211202002120
116838690612119
122466a58772774
13bab291601760
145348b03da224
1526bb4321334a
hex134a9e291cc8

21211202002120 has 64 divisors (see below), whose sum is σ = 51407502254640. Its totient is φ = 7830132710400.

The previous prime is 21211202002063. The next prime is 21211202002157. The reversal of 21211202002120 is 2120020211212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3892736892004 + 17318465110116 = 1973002^2 + 4161546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21211202002094 and 21211202002103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010711 + ... + 6816550.

Almost surely, 221211202002120 is an apocalyptic number.

21211202002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211202002120 is an abundant number, since it is smaller than the sum of its proper divisors (30196300252520).

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

21211202002120 is a wasteful number, since it uses less digits than its factorization.

21211202002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8831906 (or 8831902 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21211202002120 its reverse (2120020211212), we get a palindrome (23331222213332).

The spelling of 21211202002120 in words is "twenty-one trillion, two hundred eleven billion, two hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4621 9242 18484 23105 36968 46210 60073 92420 120146 184840 240292 300365 480584 600730 1201460 2402920 8827261 17654522 35309044 44136305 70618088 88272610 114754393 176545220 229508786 353090440 459017572 573771965 918035144 1147543930 2295087860 4590175720 40790773081 81581546162 163163092324 203953865405 326326184648 407907730810 530280050053 815815461620 1060560100106 1631630923240 2121120200212 2651400250265 4242240400424 5302800500530 10605601001060 21211202002120