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1022020120 = 2351141181313
BaseRepresentation
bin111100111010101…
…100101000011000
32122020010000001001
4330322230220120
54043114120440
6245225234344
734220012332
oct7472545030
92566100031
101022020120
114849a3930
122463329b4
13133979c44
1499a40452
155ead0b9a
hex3ceaca18

1022020120 has 128 divisors (see below), whose sum is σ = 2592233280. Its totient is φ = 359424000.

The previous prime is 1022020099. The next prime is 1022020151. The reversal of 1022020120 is 210202201.

1022020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1022020097 and 1022020106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3265084 + ... + 3265396.

Almost surely, 21022020120 is an apocalyptic number.

1022020120 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 1022020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296116640).

1022020120 is an abundant number, since it is smaller than the sum of its proper divisors (1570213160).

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

1022020120 is a wasteful number, since it uses less digits than its factorization.

1022020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1022020120 is about 31969.0494072001. The cubic root of 1022020120 is about 1007.2868133799.

Adding to 1022020120 its reverse (210202201), we get a palindrome (1232222321).

The spelling of 1022020120 in words is "one billion, twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 181 205 220 313 328 362 410 440 451 626 724 820 902 905 1252 1448 1565 1640 1804 1810 1991 2255 2504 3130 3443 3608 3620 3982 4510 6260 6886 7240 7421 7964 9020 9955 12520 12833 13772 14842 15928 17215 18040 19910 25666 27544 29684 34430 37105 39820 51332 56653 59368 64165 68860 74210 79640 81631 102664 113306 128330 137720 141163 148420 163262 226612 256660 282326 283265 296840 326524 408155 453224 513320 564652 566530 623183 653048 705815 816310 1129304 1133060 1246366 1411630 1632620 2266120 2322773 2492732 2823260 3115915 3265240 4645546 4985464 5646520 6231830 9291092 11613865 12463660 18582184 23227730 24927320 25550503 46455460 51101006 92910920 102202012 127752515 204404024 255505030 511010060 1022020120