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21202022202012 = 22334126211826849
BaseRepresentation
bin1001101001000011110110…
…00000000111101010011100
32210001220010101022010022000
410310201323000013222130
510234333220140431022
6113032024033322300
74315536606116421
oct464417300075234
983056111263260
1021202022202012
1168347aa885463
122465116406390
13baa45a81a582
1453427d17dd48
1526b7a736c6ac
hex13487b007a9c

21202022202012 has 96 divisors (see below), whose sum is σ = 56330408232000. Its totient is φ = 6892332134400.

The previous prime is 21202022201963. The next prime is 21202022202037. The reversal of 21202022202012 is 21020222020212.

21202022202012 is a `hidden beast` number, since 21 + 20 + 202 + 220 + 201 + 2 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10692364 + ... + 12519212.

It is an arithmetic number, because the mean of its divisors is an integer number (586775085750).

Almost surely, 221202022202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202022202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28165204116000).

21202022202012 is an abundant number, since it is smaller than the sum of its proper divisors (35128386029988).

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

21202022202012 is a wasteful number, since it uses less digits than its factorization.

21202022202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829524 (or 1829516 counting only the distinct ones).

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

Adding to 21202022202012 its reverse (21020222020212), we get a palindrome (42222244222224).

The spelling of 21202022202012 in words is "twenty-one trillion, two hundred two billion, twenty-two million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 2621 4428 5242 7863 10484 15726 23589 31452 47178 70767 94356 107461 141534 214922 283068 322383 429844 644766 967149 1289532 1826849 1934298 2901447 3653698 3868596 5480547 5802894 7307396 10961094 11605788 16441641 21922188 32883282 49324923 65766564 74900809 98649846 149801618 197299692 224702427 299603236 449404854 674107281 898809708 1348214562 2022321843 2696429124 4044643686 4788171229 8089287372 9576342458 14364513687 19152684916 28729027374 43093541061 57458054748 86187082122 129280623183 172374164244 196315020389 258561246366 392630040778 517122492732 588945061167 785260081556 1177890122334 1766835183501 2355780244668 3533670367002 5300505550503 7067340734004 10601011101006 21202022202012