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1030222312020 = 22325114711070517
BaseRepresentation
bin11101111110111100000…
…10001111001001010100
310122111011222000221121200
432333132002033021110
5113334343402441040
62105135543312500
7134300604110616
oct16773602171124
93574158027550
101030222312020
11367a07701270
121477b744b730
13761c372a7c5
1437c12200db6
151bbe9b55630
hexefde08f254

1030222312020 has 144 divisors (see below), whose sum is σ = 3481633628928. Its totient is φ = 244436993280.

The previous prime is 1030222311941. The next prime is 1030222312061. The reversal of 1030222312020 is 202132220301.

1030222312020 is a `hidden beast` number, since 1 + 0 + 302 + 223 + 120 + 20 = 666.

It is a super-2 number, since 2×10302223120202 (a number of 25 digits) contains 22 as substring.

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 = 1030222311984 and 1030222312002.

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, 5442199 + ... + 5628318.

It is an arithmetic number, because the mean of its divisors is an integer number (24178011312).

Almost surely, 21030222312020 is an apocalyptic number.

1030222312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030222312020 is an abundant number, since it is smaller than the sum of its proper divisors (2451411316908).

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

1030222312020 is a wasteful number, since it uses less digits than its factorization.

1030222312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11070590 (or 11070585 counting only the distinct ones).

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

Adding to 1030222312020 its reverse (202132220301), we get a palindrome (1232354532321).

It can be divided in two parts, 10302 and 22312020, that added together give a palindrome (22322322).

The spelling of 1030222312020 in words is "one trillion, thirty billion, two hundred twenty-two million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 495 517 564 660 705 846 940 990 1034 1410 1551 1692 1980 2068 2115 2585 2820 3102 4230 4653 5170 6204 7755 8460 9306 10340 15510 18612 23265 31020 46530 93060 11070517 22141034 33211551 44282068 55352585 66423102 99634653 110705170 121775687 132846204 166057755 199269306 221410340 243551374 332115510 365327061 398538612 487102748 498173265 520314299 608878435 664231020 730654122 996346530 1040628598 1095981183 1217756870 1461308244 1560942897 1826635305 1992693060 2081257196 2191962366 2435513740 2601571495 3121885794 3653270610 4383924732 4682828691 5203142990 5479905915 5723457289 6243771588 7306541220 7804714485 9365657382 10406285980 10959811830 11446914578 15609428970 17170371867 18731314764 21919623660 22893829156 23414143455 28617286445 31218857940 34340743734 46828286910 51511115601 57234572890 68681487468 85851859335 93656573820 103022231202 114469145780 171703718670 206044462404 257555578005 343407437340 515111156010 1030222312020