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21821144070 = 23511174498663
BaseRepresentation
bin10100010100101001…
…000011110000000110
32002022202022222021010
4110110221003300012
5324142203102240
614005142503050
71401514443555
oct242451036006
962282288233
1021821144070
119288515570
12428ba34a86
132099a8ba8b
1410b0103d9c
1587aa9e280
hex514a43c06

21821144070 has 128 divisors (see below), whose sum is σ = 60634137600. Its totient is φ = 4967137280.

The previous prime is 21821144069. The next prime is 21821144071. The reversal of 21821144070 is 7044112812.

It is an interprime number because it is at equal distance from previous prime (21821144069) and next prime (21821144071).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21821144071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2514559 + ... + 2523221.

It is an arithmetic number, because the mean of its divisors is an integer number (473704200).

Almost surely, 221821144070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21821144070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30317068800).

21821144070 is an abundant number, since it is smaller than the sum of its proper divisors (38812993530).

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

21821144070 is a wasteful number, since it uses less digits than its factorization.

21821144070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150.

The product of its (nonzero) digits is 3584, while the sum is 30.

Adding to 21821144070 its reverse (7044112812), we get a palindrome (28865256882).

The spelling of 21821144070 in words is "twenty-one billion, eight hundred twenty-one million, one hundred forty-four thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 449 510 561 898 935 1122 1347 1870 2245 2694 2805 4490 4939 5610 6735 7633 8663 9878 13470 14817 15266 17326 22899 24695 25989 29634 38165 43315 45798 49390 51978 74085 76330 83963 86630 95293 114495 129945 147271 148170 167926 190586 228990 251889 259890 285879 294542 419815 441813 476465 503778 571758 736355 839630 883626 952930 1259445 1429395 1472710 1619981 2209065 2518890 2858790 3239962 3889687 4418130 4859943 7779374 8099905 9719886 11669061 16199810 19448435 23338122 24299715 38896870 42786557 48599430 58345305 66124679 85573114 116690610 128359671 132249358 198374037 213932785 256719342 330623395 396748074 427865570 641798355 661246790 727371469 991870185 1283596710 1454742938 1983740370 2182114407 3636857345 4364228814 7273714690 10910572035 21821144070