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22021120133320 = 23571141257173297
BaseRepresentation
bin1010000000111001100010…
…00010110000100011001000
32212222012100201120021220211
411000130301002300203020
510341243223223231240
6114500210220530504
74431654612502450
oct500346102604310
985865321507824
1022021120133320
117020117253660
122577a106b0a34
13c397763026c9
14561b83a92d60
15282c470e0bea
hex1407310b08c8

22021120133320 has 128 divisors (see below), whose sum is σ = 61775385557760. Its totient is φ = 6863519784960.

The previous prime is 22021120133317. The next prime is 22021120133329. The reversal of 22021120133320 is 2333102112022.

It is a super-2 number, since 2×220211201333202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22021120133291 and 22021120133300.

It is not an unprimeable number, because it can be changed into a prime (22021120133329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126984912 + ... + 127158208.

It is an arithmetic number, because the mean of its divisors is an integer number (482620199670).

Almost surely, 222021120133320 is an apocalyptic number.

22021120133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021120133320 is an abundant number, since it is smaller than the sum of its proper divisors (39754265424440).

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

22021120133320 is a wasteful number, since it uses less digits than its factorization.

22021120133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214583 (or 214579 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 22021120133320 its reverse (2333102112022), we get a palindrome (24354222245342).

The spelling of 22021120133320 in words is "twenty-two trillion, twenty-one billion, one hundred twenty million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 41257 82514 165028 173297 206285 288799 330056 346594 412570 453827 577598 693188 825140 866485 907654 1155196 1213079 1386376 1443995 1650280 1732970 1815308 1906267 2269135 2310392 2426158 2887990 3176789 3465940 3630616 3812534 4538270 4852316 5775980 6065395 6353578 6931880 7625068 9076540 9531335 9704632 11551960 12130790 12707156 13343869 15250136 15883945 18153080 19062670 24261580 25414312 26687738 31767890 38125340 48523160 53375476 63535780 66719345 76250680 106750952 127071560 133438690 266877380 533754760 7149714329 14299428658 28598857316 35748571645 50048000303 57197714632 71497143290 78646857619 100096000606 142994286580 157293715238 200192001212 250240001515 285988573160 314587430476 393234288095 400384002424 500480003030 550528003333 629174860952 786468576190 1000960006060 1101056006666 1572937152380 2001920012120 2202112013332 2752640016665 3145874304760 4404224026664 5505280033330 11010560066660 22021120133320