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1030322212020 = 22325101157360977
BaseRepresentation
bin11101111111000111111…
…11010100110010110100
310122111102221000101122200
432333203333110302310
5113340044441241040
62105153512424500
7134303226205353
oct16774377246264
93574387011580
101030322212020
11367a59034652
121478249a8130
137620b33792a
1437c215a799a
151bc037da630
hexefe3fd4cb4

1030322212020 has 144 divisors (see below), whose sum is σ = 3176366710608. Its totient is φ = 270298828800.

The previous prime is 1030322211991. The next prime is 1030322212033. The reversal of 1030322212020 is 202122230301.

1030322212020 is a `hidden beast` number, since 1 + 0 + 303 + 222 + 120 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2150547876 + 1028171664144 = 46374^2 + 1013988^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1030322211984 and 1030322212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2673772 + ... + 3034748.

It is an arithmetic number, because the mean of its divisors is an integer number (22058102157).

Almost surely, 21030322212020 is an apocalyptic number.

1030322212020 is a gapful number since it is divisible by the number (10) 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 1030322212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588183355304).

1030322212020 is an abundant number, since it is smaller than the sum of its proper divisors (2146044498588).

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

1030322212020 is a wasteful number, since it uses less digits than its factorization.

1030322212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361250 (or 361245 counting only the distinct ones).

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

Adding to 1030322212020 its reverse (202122230301), we get a palindrome (1232444442321).

The spelling of 1030322212020 in words is "one trillion, thirty billion, three hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 157 180 202 303 314 404 471 505 606 628 785 909 942 1010 1212 1413 1515 1570 1818 1884 2020 2355 2826 3030 3140 3636 4545 4710 5652 6060 7065 9090 9420 14130 15857 18180 28260 31714 47571 63428 79285 95142 142713 158570 190284 237855 285426 317140 360977 475710 570852 713565 721954 951420 1082931 1427130 1443908 1804885 2165862 2854260 3248793 3609770 4331724 5414655 6497586 7219540 10829310 12995172 16243965 21658620 32487930 36458677 56673389 64975860 72917354 109376031 113346778 145834708 170020167 182293385 218752062 226693556 283366945 328128093 340040334 364586770 437504124 510060501 546880155 566733890 656256186 680080668 729173540 850100835 1020121002 1093760310 1133467780 1312512372 1640640465 1700201670 2040242004 2187520620 2550302505 3281280930 3400403340 5100605010 5724012289 6562561860 10201210020 11448024578 17172036867 22896049156 28620061445 34344073734 51516110601 57240122890 68688147468 85860184335 103032221202 114480245780 171720368670 206064442404 257580553005 343440737340 515161106010 1030322212020