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21422210130 = 234541215733
BaseRepresentation
bin10011111100110111…
…001111110001010010
32001021221200000210000
4103330313033301102
5322333041211010
613501412150430
71355601532056
oct237467176122
961257600700
1021422210130
1190a33085a2
12419a308416
1320352317a9
141073139c66
15855a4b7c0
hex4fcdcfc52

21422210130 has 120 divisors (see below), whose sum is σ = 59044887396. Its totient is φ = 5572903680.

The previous prime is 21422210107. The next prime is 21422210141. The reversal of 21422210130 is 3101222412.

It is a happy number.

21422210130 is a `hidden beast` number, since 2 + 1 + 422 + 210 + 1 + 30 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 130439241 + 21291770889 = 11421^2 + 145917^2 .

It is a super-2 number, since 2×214222101302 (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 Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1353744 + ... + 1369476.

Almost surely, 221422210130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21422210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29522443698).

21422210130 is an abundant number, since it is smaller than the sum of its proper divisors (37622677266).

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

21422210130 is a wasteful number, since it uses less digits than its factorization.

21422210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15834 (or 15784 counting only the distinct ones).

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

Adding to 21422210130 its reverse (3101222412), we get a palindrome (24523432542).

The spelling of 21422210130 in words is "twenty-one billion, four hundred twenty-two million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 615 738 810 1107 1230 1681 1845 2214 3321 3362 3690 5043 5535 6642 8405 10086 11070 15129 15733 16605 16810 25215 30258 31466 33210 45387 47199 50430 75645 78665 90774 94398 136161 141597 151290 157330 226935 235995 272322 283194 424791 453870 471990 645053 680805 707985 849582 1274373 1290106 1361610 1415970 1935159 2123955 2548746 3225265 3870318 4247910 5805477 6371865 6450530 9675795 11610954 12743730 17416431 19351590 26447173 29027385 34832862 52249293 52894346 58054770 79341519 87082155 104498586 132235865 158683038 174164310 238024557 261246465 264471730 396707595 476049114 522492930 714073671 793415190 1190122785 1428147342 2142221013 2380245570 3570368355 4284442026 7140736710 10711105065 21422210130