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21210301242 = 232132912724611
BaseRepresentation
bin10011110000001110…
…111000001100111010
32000202011220221102200
4103300032320030322
5321414314114432
613424402211030
71350416404644
oct236016701472
960664827380
1021210301242
118aa4731289
12413b353a76
132000367b10
141052d37894
1584213da7c
hex4f03b833a

21210301242 has 96 divisors (see below), whose sum is σ = 51602503680. Its totient is φ = 6251333760.

The previous prime is 21210301169. The next prime is 21210301279. The reversal of 21210301242 is 24210301212.

It is a happy number.

21210301242 is a `hidden beast` number, since 2 + 121 + 0 + 301 + 242 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 849517 + ... + 874127.

It is an arithmetic number, because the mean of its divisors is an integer number (537526080).

Almost surely, 221210301242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210301242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25801251840).

21210301242 is an abundant number, since it is smaller than the sum of its proper divisors (30392202438).

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

21210301242 is a wasteful number, since it uses less digits than its factorization.

21210301242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24788 (or 24785 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21210301242 its reverse (24210301212), we get a palindrome (45420602454).

The spelling of 21210301242 in words is "twenty-one billion, two hundred ten million, three hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 127 174 234 254 261 377 381 522 754 762 1131 1143 1651 2262 2286 3302 3393 3683 4953 6786 7366 9906 11049 14859 22098 24611 29718 33147 47879 49222 66294 73833 95758 143637 147666 221499 287274 319943 430911 442998 639886 713719 861822 959829 1427438 1919658 2141157 2879487 3125597 4282314 5758974 6251194 6423471 9278347 9376791 12846942 18556694 18753582 27835041 28130373 40632761 55670082 56260746 81265522 83505123 90642313 121898283 167010246 181284626 243796566 271926939 365694849 543853878 731389698 815780817 1178350069 1631561634 2356700138 3535050207 7070100414 10605150621 21210301242