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21030240132 = 223211591814973
BaseRepresentation
bin10011100101011111…
…111111111110000100
32000021122002220000200
4103211133333332010
5321032220141012
613354451010500
71343102043306
oct234537777604
960248086020
1021030240132
118a12027750
1240aab99a30
131ca1c72195
141037065976
158314223dc
hex4e57fff84

21030240132 has 144 divisors (see below), whose sum is σ = 59313159360. Its totient is φ = 6228921600.

The previous prime is 21030240131. The next prime is 21030240151. The reversal of 21030240132 is 23104203012.

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

It is not an unprimeable number, because it can be changed into a prime (21030240131) 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 47 ways as a sum of consecutive naturals, for example, 4226398 + ... + 4231370.

It is an arithmetic number, because the mean of its divisors is an integer number (411896940).

Almost surely, 221030240132 is an apocalyptic number.

21030240132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21030240132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29656579680).

21030240132 is an abundant number, since it is smaller than the sum of its proper divisors (38282919228).

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

21030240132 is a wasteful number, since it uses less digits than its factorization.

21030240132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5229 counting only the distinct ones).

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

Adding to 21030240132 its reverse (23104203012), we get a palindrome (44134443144).

It can be divided in two parts, 21030 and 240132, that added together give a palindrome (261162).

The spelling of 21030240132 in words is "twenty-one billion, thirty million, two hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 181 198 236 354 362 396 531 543 649 708 724 1062 1086 1298 1629 1947 1991 2124 2172 2596 3258 3894 3982 4973 5841 5973 6516 7788 7964 9946 10679 11682 11946 14919 17919 19892 21358 23364 23892 29838 32037 35838 42716 44757 54703 59676 64074 71676 89514 96111 109406 117469 128148 164109 179028 192222 218812 234938 293407 328218 352407 384444 469876 492327 586814 656436 704814 880221 900113 984654 1057221 1173628 1409628 1760442 1800226 1969308 2114442 2640663 2700339 3227477 3520884 3600452 4228884 5281326 5400678 6454954 8101017 9682431 9901243 10562652 10801356 12909908 16202034 19364862 19802486 29047293 29703729 32404068 38729724 39604972 53106667 58094586 59407458 89111187 106213334 116189172 118814916 159320001 178222374 212426668 318640002 356444748 477960003 584173337 637280004 955920006 1168346674 1752520011 1911840012 2336693348 3505040022 5257560033 7010080044 10515120066 21030240132