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21211000012120 = 2353671444891009
BaseRepresentation
bin1001101001010100100100…
…00111101111110101011000
32210002202022001122010111111
410310222102013233311120
510240010112000341440
6113040110543110104
74316305232211052
oct464522207576530
983082261563444
1021211000012120
1168385975a0036
122466a00ba2334
13bab25b7cb749
1453489165a8d2
1526bb306144ea
hex134a921efd58

21211000012120 has 32 divisors (see below), whose sum is σ = 47854790251200. Its totient is φ = 8461281742848.

The previous prime is 21211000012063. The next prime is 21211000012121. The reversal of 21211000012120 is 2121000011212.

It is a super-3 number, since 3×212110000121203 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21211000012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211000012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722430825 + ... + 722460184.

It is an arithmetic number, because the mean of its divisors is an integer number (1495462195350).

Almost surely, 221211000012120 is an apocalyptic number.

21211000012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211000012120 is an abundant number, since it is smaller than the sum of its proper divisors (26643790239080).

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

21211000012120 is a wasteful number, since it uses less digits than its factorization.

21211000012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444891387 (or 1444891383 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21211000012120 its reverse (2121000011212), we get a palindrome (23332000023332).

The spelling of 21211000012120 in words is "twenty-one trillion, two hundred eleven billion, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 367 734 1468 1835 2936 3670 7340 14680 1444891009 2889782018 5779564036 7224455045 11559128072 14448910090 28897820180 57795640360 530275000303 1060550000606 2121100001212 2651375001515 4242200002424 5302750003030 10605500006060 21211000012120