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21202420212 = 2232977602821
BaseRepresentation
bin10011101111110000…
…110100000111110100
32000201122002112200200
4103233300310013310
5321410304421322
613423521240500
71350262412121
oct235760640764
960648075620
1021202420212
118aa0239136
124138793130
131ccb83889c
141051c85748
158415d38ac
hex4efc341f4

21202420212 has 36 divisors (see below), whose sum is σ = 53649952356. Its totient is φ = 7060227840.

The previous prime is 21202420157. The next prime is 21202420243.

21202420212 is a `hidden beast` number, since 21 + 202 + 420 + 21 + 2 = 666.

21202420212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 15746234256 + 5456185956 = 125484^2 + 73866^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×212024202122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 266239 + ... + 336582.

Almost surely, 221202420212 is an apocalyptic number.

It is an amenable number.

21202420212 is an abundant number, since it is smaller than the sum of its proper divisors (32447532144).

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

21202420212 is a wasteful number, since it uses less digits than its factorization.

21202420212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603808 (or 603803 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 21202420212 in words is "twenty-one billion, two hundred two million, four hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 977 1954 2931 3908 5862 8793 11724 17586 35172 602821 1205642 1808463 2411284 3616926 5425389 7233852 10850778 21701556 588956117 1177912234 1766868351 2355824468 3533736702 5300605053 7067473404 10601210106 21202420212