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21030132222 = 236113142299
BaseRepresentation
bin10011100101011111…
…100101100111111110
32000021121220102000000
4103211133211213332
5321032203212342
613354444415130
71343101113561
oct234537454776
960247812000
1021030132222
118a11a63670
1240aab474a6
131ca1c35028
1410370384d8
1583140044c
hex4e57e59fe

21030132222 has 112 divisors (see below), whose sum is σ = 53261452800. Its totient is φ = 6167048400.

The previous prime is 21030132199. The next prime is 21030132229. The reversal of 21030132222 is 22223103012.

21030132222 is a `hidden beast` number, since 21 + 0 + 301 + 322 + 22 = 666.

It is a super-2 number, since 2×210301322222 (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 junction number, because it is equal to n+sod(n) for n = 21030132195 and 21030132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21030132229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 476029 + ... + 518327.

Almost surely, 221030132222 is an apocalyptic number.

21030132222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21030132222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26630726400).

21030132222 is an abundant number, since it is smaller than the sum of its proper divisors (32231320578).

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

21030132222 is a wasteful number, since it uses less digits than its factorization.

21030132222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42361 (or 42346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21030132222 its reverse (22223103012), we get a palindrome (43253235234).

The spelling of 21030132222 in words is "twenty-one billion, thirty million, one hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 243 279 297 341 486 558 594 682 729 837 891 1023 1458 1674 1782 2046 2511 2673 3069 5022 5346 6138 7533 8019 9207 15066 16038 18414 22599 27621 42299 45198 55242 82863 84598 126897 165726 248589 253794 380691 465289 497178 761382 930578 1142073 1311269 1395867 2284146 2622538 2791734 3426219 3933807 4187601 6852438 7867614 8375202 10278657 11801421 12562803 14423959 20557314 23602842 25125606 28847918 30835971 35404263 37688409 43271877 61671942 70808526 75376818 86543754 106212789 113065227 129815631 212425578 226130454 259631262 318638367 339195681 389446893 637276734 678391362 778893786 955915101 1168340679 1911830202 2336681358 3505022037 7010044074 10515066111 21030132222