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1022201112020 = 2251131211342787
BaseRepresentation
bin11101101111111111110…
…11110010010111010100
310121201110221201202210012
432313333323302113110
5113221431441041040
62101332005215352
7133565045043104
oct16677773622724
93551427652705
101022201112020
11364570973a60
12146139101558
13755159a400a
1437690bb9204
151b8ca86d865
hexedffef25d4

1022201112020 has 144 divisors (see below), whose sum is σ = 2441218336704. Its totient is φ = 356527180800.

The previous prime is 1022201112011. The next prime is 1022201112059. The reversal of 1022201112020 is 202111022201.

It is a super-2 number, since 2×10222011120202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022201111986 and 1022201112004.

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, 23869067 + ... + 23911853.

It is an arithmetic number, because the mean of its divisors is an integer number (16952905116).

Almost surely, 21022201112020 is an apocalyptic number.

1022201112020 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 1022201112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220609168352).

1022201112020 is an abundant number, since it is smaller than the sum of its proper divisors (1419017224684).

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

1022201112020 is a wasteful number, since it uses less digits than its factorization.

1022201112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42982 (or 42949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022201112020 its reverse (202111022201), we get a palindrome (1224312134221).

The spelling of 1022201112020 in words is "one trillion, twenty-two billion, two hundred one million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 113 124 155 220 226 310 341 452 565 620 682 961 1130 1243 1364 1705 1922 2260 2486 3410 3503 3844 4805 4972 6215 6820 7006 9610 10571 12430 14012 17515 19220 21142 24860 35030 38533 42284 42787 52855 70060 77066 85574 105710 108593 154132 171148 192665 211420 213935 217186 385330 427870 434372 470657 542965 770660 855740 941314 1085930 1194523 1326397 1882628 2171860 2353285 2389046 2652794 4706570 4778092 4834931 5305588 5972615 6631985 9413140 9669862 11945230 13263970 14590367 19339724 23890460 24174655 26527940 29180734 41118307 48349310 53184241 58361468 72951835 82236614 96698620 106368482 145903670 149882861 164473228 205591535 212736964 265921205 291807340 299765722 411183070 452301377 531842410 599531444 749414305 822366140 904602754 1063684820 1498828610 1648711471 1809205508 2261506885 2997657220 3297422942 4523013770 4646368691 6594845884 8243557355 9046027540 9292737382 16487114710 18585474764 23231843455 32974229420 46463686910 51110055601 92927373820 102220111202 204440222404 255550278005 511100556010 1022201112020