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22121313032 = 237313727853
BaseRepresentation
bin10100100110100010…
…000111001100001000
32010002200011010200002
4110212202013030020
5330301024004112
614055024302132
71412121026000
oct244642071410
963080133602
1022121313032
1194219a4995
124354471948
132117018750
1410dbd1d000
158970e31c2
hex526887308

22121313032 has 128 divisors (see below), whose sum is σ = 52223808000. Its totient is φ = 8729005824.

The previous prime is 22121313007. The next prime is 22121313041. The reversal of 22121313032 is 23031312122.

It is a junction number, because it is equal to n+sod(n) for n = 22121312995 and 22121313013.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25933118 + ... + 25933970.

It is an arithmetic number, because the mean of its divisors is an integer number (407998500).

Almost surely, 222121313032 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 22121313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26111904000).

22121313032 is an abundant number, since it is smaller than the sum of its proper divisors (30102494968).

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

22121313032 is a wasteful number, since it uses less digits than its factorization.

22121313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22121313032 its reverse (23031312122), we get a palindrome (45152625154).

The spelling of 22121313032 in words is "twenty-two billion, one hundred twenty-one million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 364 392 637 686 727 728 853 1274 1372 1454 1706 2548 2744 2908 3412 4459 5089 5096 5816 5971 6824 8918 9451 10178 11089 11942 17836 18902 20356 22178 23884 35623 35672 37804 40712 41797 44356 47768 66157 71246 75608 77623 83594 88712 132314 142492 155246 167188 249361 264628 284984 292579 310492 334376 463099 498722 529256 543361 585158 620131 620984 926198 997444 1086722 1170316 1240262 1852396 1994888 2173444 2340632 2480524 3241693 3704792 3803527 4340917 4346888 4961048 6483386 7607054 8061703 8681834 12966772 15214108 16123406 17363668 25933544 30386419 30428216 32246812 34727336 56431921 60772838 64493624 112863842 121545676 212704933 225727684 243091352 395023447 425409866 451455368 790046894 850819732 1580093788 1701639464 2765164129 3160187576 5530328258 11060656516 22121313032