Search a number
-
+
1022120001112 = 237436120633373
BaseRepresentation
bin11101101111110110001…
…10010111111001011000
310121201021022002220112111
432313323012113321120
5113221300210013422
62101315550522104
7133563041442130
oct16677306277130
93551238086474
101022120001112
1136452a104151
12146115b06334
1375501c450b2
1437684103ac0
151b8c369aa77
hexedfb197e58

1022120001112 has 128 divisors (see below), whose sum is σ = 2279714088960. Its totient is φ = 420521310720.

The previous prime is 1022120001083. The next prime is 1022120001113. The reversal of 1022120001112 is 2111000212201.

It is a junction number, because it is equal to n+sod(n) for n = 1022120001092 and 1022120001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022120001113) 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, 303028258 + ... + 303031630.

It is an arithmetic number, because the mean of its divisors is an integer number (17810266320).

Almost surely, 21022120001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022120001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139857044480).

1022120001112 is an abundant number, since it is smaller than the sum of its proper divisors (1257594087848).

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

1022120001112 is a wasteful number, since it uses less digits than its factorization.

1022120001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1022120001112 its reverse (2111000212201), we get a palindrome (3133120213313).

The spelling of 1022120001112 in words is "one trillion, twenty-two billion, one hundred twenty million, one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 43 56 61 86 122 172 244 301 344 427 488 602 854 1204 1708 2063 2408 2623 3373 3416 4126 5246 6746 8252 10492 13492 14441 16504 18361 20984 23611 26984 28882 36722 47222 57764 73444 88709 94444 115528 125843 145039 146888 177418 188888 205753 251686 290078 354836 411506 503372 580156 620963 709672 823012 880901 1006744 1015273 1160312 1241926 1440271 1646024 1761802 2030546 2483852 2880542 3523604 4061092 4967704 5411249 5761084 6958499 7047208 8122184 8847379 10822498 11522168 13916998 17694758 21644996 27833996 35389516 37878743 43289992 48709493 55667992 61931653 70779032 75757486 97418986 123863306 151514972 194837972 247726612 299215457 303029944 389675944 424468439 495453224 598430914 848936878 1196861828 1697873756 2094508199 2393723656 2971279073 3395747512 4189016398 5942558146 8378032796 11885116292 16756065592 18252142877 23770232584 36504285754 73008571508 127765000139 146017143016 255530000278 511060000556 1022120001112