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21030122310012 = 223217212697159199
BaseRepresentation
bin1001100100000011101001…
…11110000100100101111100
32202110110102101022211022100
410302001310332010211330
510224024142302410022
6112421034350145100
74300243015131504
oct462016476044574
982413371284270
1021030122310012
116778908876312
1224379414b2190
13b97194099b4a
14529c1306aa04
15267095d361ac
hex132074f8497c

21030122310012 has 108 divisors (see below), whose sum is σ = 56475248939200. Its totient is φ = 6597124365312.

The previous prime is 21030122310011. The next prime is 21030122310031. The reversal of 21030122310012 is 21001322103012.

21030122310012 is a `hidden beast` number, since 21 + 0 + 301 + 22 + 310 + 0 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21030122310011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132019989 + ... + 132179187.

Almost surely, 221030122310012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21030122310012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28237624469600).

21030122310012 is an abundant number, since it is smaller than the sum of its proper divisors (35445126629188).

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

21030122310012 is a wasteful number, since it uses less digits than its factorization.

21030122310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171940 (or 171918 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21030122310012 its reverse (21001322103012), we get a palindrome (42031444413024).

The spelling of 21030122310012 in words is "twenty-one trillion, thirty billion, one hundred twenty-two million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 12697 25394 38091 50788 76182 114273 152364 159199 215849 228546 318398 431698 457092 477597 636796 647547 863396 955194 1295094 1432791 1910388 1942641 2590188 2706383 2865582 3669433 3885282 5412766 5731164 7338866 7770564 8119149 10825532 11008299 14677732 16238298 22016598 24357447 32476596 33024897 44033196 46008511 48714894 66049794 92017022 97429788 132099588 138025533 184034044 276051066 414076599 552102132 828153198 1656306396 2021349703 4042699406 6064049109 8085398812 12128098218 18192147327 24256196436 34362944951 36384294654 68725889902 72768589308 103088834853 137451779804 206177669706 309266504559 412355339412 584170064167 618533009118 1168340128334 1237066018236 1752510192501 2336680256668 3505020385002 5257530577503 7010040770004 10515061155006 21030122310012