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21210004242 = 23274710135461
BaseRepresentation
bin10011110000001101…
…101111101100010010
32000202011100212000200
4103300031233230102
5321414230113432
613424352000030
71350414030030
oct236015575422
960664325020
1021210004242
118aa4549129
12413b230016
13200029288b
141052c9b550
158420d0a7c
hex4f036fb12

21210004242 has 96 divisors (see below), whose sum is σ = 54170049024. Its totient is φ = 5872176000.

The previous prime is 21210004187. The next prime is 21210004261. The reversal of 21210004242 is 24240001212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580392 + ... + 615852.

It is an arithmetic number, because the mean of its divisors is an integer number (564271344).

Almost surely, 221210004242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210004242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27085024512).

21210004242 is an abundant number, since it is smaller than the sum of its proper divisors (32960044782).

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

21210004242 is a wasteful number, since it uses less digits than its factorization.

21210004242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35624 (or 35621 counting only the distinct ones).

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

Adding to 21210004242 its reverse (24240001212), we get a palindrome (45450005454).

The spelling of 21210004242 in words is "twenty-one billion, two hundred ten million, four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 101 126 141 202 282 303 329 423 606 658 707 846 909 987 1414 1818 1974 2121 2961 4242 4747 5922 6363 9494 12726 14241 28482 33229 35461 42723 66458 70922 85446 99687 106383 199374 212766 248227 299061 319149 496454 598122 638298 744681 1489362 1666667 2234043 3333334 3581561 4468086 5000001 7163122 10000002 10744683 11666669 15000003 21489366 23333338 25070927 30000006 32234049 35000007 50141854 64468098 70000014 75212781 105000021 150425562 168333367 210000042 225638343 336666734 451276686 505000101 1010000202 1178333569 1515000303 2356667138 3030000606 3535000707 7070001414 10605002121 21210004242