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1020101321022 = 237473594633109
BaseRepresentation
bin11101101100000101100…
…01101110000100111110
310121112001121121100001020
432312002301232010332
5113203131414233042
62100343355325010
7133462030106340
oct16660261560476
93545047540036
101020101321022
113636936689a3
12145851a50766
137526c95a334
1437531d85290
151b8063483ec
hexed82c6e13e

1020101321022 has 128 divisors (see below), whose sum is σ = 2393830195200. Its totient is φ = 283756023936.

The previous prime is 1020101321021. The next prime is 1020101321039. The reversal of 1020101321022 is 2201231010201.

It is a junction number, because it is equal to n+sod(n) for n = 1020101320992 and 1020101321010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101321021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328110804 + ... + 328113912.

It is an arithmetic number, because the mean of its divisors is an integer number (18701798400).

Almost surely, 21020101321022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020101321022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196915097600).

1020101321022 is an abundant number, since it is smaller than the sum of its proper divisors (1373728874178).

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

1020101321022 is a wasteful number, since it uses less digits than its factorization.

1020101321022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1020101321022 its reverse (2201231010201), we get a palindrome (3221332331223).

The spelling of 1020101321022 in words is "one trillion, twenty billion, one hundred one million, three hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 359 463 658 718 926 987 1077 1389 1974 2154 2513 2778 3109 3241 5026 6218 6482 7539 9327 9723 15078 16873 18654 19446 21761 21763 33746 43522 43526 50619 65283 65289 101238 118111 130566 130578 146123 152327 166217 236222 292246 304654 332434 354333 438369 456981 498651 708666 876738 913962 997302 1022861 1116131 1163519 1439467 2045722 2232262 2327038 2878934 3068583 3348393 3490557 4318401 6137166 6696786 6981114 7812199 7812917 8636802 10076269 15624398 15625834 20152538 23436597 23438751 30228807 46873194 46877502 52458157 54685393 60457614 67654949 104916314 109370786 135309898 157374471 164056179 202964847 314748942 328112358 367207099 405929694 473584643 516768653 734414198 947169286 1033537306 1101621297 1420753929 1550305959 2203242594 2841507858 3100611918 3617380571 7234761142 10852141713 21704283426 24288126691 48576253382 72864380073 145728760146 170016886837 340033773674 510050660511 1020101321022